He broke Balakrishnan in the third game of the second set, but dropped his in the next. Just when the Australian looked like forcing a decider, Yuki broke him in the ninth game and quickly held his serve in the next to take the and the match.
Yuki said after the match that he was happy the way he played.
'It was one of the better matches I played this week. In the previous matches I let go of the leads and then had to come back. In that sense, there was a lot of improvement in my game in this match. I was in control right from the beginning.'
Yuki will be leaving to train at Nick Bollettieri Tennis Academy, Florida, Saturday before heading to Flushing Meadows.
Vardhan, 22, will be Yuki's first Indian opponent this week.
'I will be meeting a tough competitor in Vishu. Whenever we met the matches had been close. It could go either way tomorrow. Vishnu is playing consistently well. Finally, I am getting to play an Indian in India.'
There was disappointment for the Indians in the doubles final, with Britons Tim Bradshaw and Max Jones upsetting third-seeded Vivek Shokeen and Rupesh Roy 4-6, 6-2, 10-4.