推波助澜 Fan the flames
Explanation
“澜”是“大波浪”的意思。这个成语比喻从旁鼓动、助长事物（多指坏的事物）的声势和发展，扩大影响。
"Lán" means "big waves". This idiom is used to describe someone who instigates and promotes something (usually something bad), thus expanding its influence.
Origin Story
战国时期，齐国有个名叫田单的将军，他率领军队抵抗强大的燕国军队。燕军势如破竹，齐国军队节节败退。田单决定采取反间计，他派人散布谣言，说燕王喜爱珍宝，并假装向燕王献上了一只精致的玉杯，以此迷惑燕王。燕王果然上当，贪恋玉杯，命令军队围攻齐国城池，田单则乘机带领军队突袭燕军，取得了最终的胜利。田单的这一计谋，就是利用燕王的贪婪心理，～，从而取得了战争的胜利。
During the Warring States period, there was a general named Tian Dan in Qi who led his army to resist the powerful army of Yan. The Yan army was unstoppable, and the Qi army was steadily retreating. Tian Dan decided to use a tactic of deception. He sent people to spread rumors that the King of Yan loved precious treasures, and then pretended to give the King of Yan a delicate jade cup. The King of Yan was indeed fooled and greedily desired the cup. He ordered his army to besiege the city of Qi, while Tian Dan took the opportunity to lead his army to attack the Yan army and ultimately win the victory. Tian Dan's strategy was to take advantage of the King of Yan's greed and ～, thereby winning the war.
Usage
这个成语通常用来形容那些煽动事端、助长矛盾的人。
This idiom is usually used to describe those who instigate trouble and exacerbate contradictions.
Examples
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一些别有用心的人，正在～社会矛盾，企图从中渔利。
yī xiē bié yǒu yì xīn de rén, zhèng zài tuī bō zhù lán shè huì mò dùn, qǐ tú cóng zhōng yú lì.
Some people with ulterior motives are promoting social contradictions in an attempt to profit from them.
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他们～战争的火焰，企图从中获利。
tā men tuī bō zhù lán zhàn zhēng de huǒ yàn, qǐ tú cóng zhōng huò lì.
They are fanning the flames of war in an attempt to profit from it.
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一些不负责任的媒体，～谣言，导致社会恐慌。
yī xiē bù fù zé rèn de méi tǐ, tuī bō zhù lán yáo yán, dǎo zhì shè huì kǒng huāng.
Some irresponsible media are spreading rumors, leading to social panic.