That is mathematically wrong.
If $6 000 in 1930 equals $97 000 today, the inflation since 1930 is $97 000 / $6 000 ≈ 1 616.667 %.
To get what $280 000 would have been worth in 1930, you have to DEVIDE by 1 616.667 % (16.16667 in decimal form as you would write on a calculator). This means you have to put $280 000 / 1 616.667 % ≈ $17 320
$17 320 in 1930 is still much more than $6 000 in 1930, but it's not 4.5 million.
What you did wrong was that you, instead of deviding $280 000 by 1 616.667 %, you multiplied by 1 616.667 %. $280 000 • 1 616.667 % ≈ $4 526 667, which is roughly what you got, but you did some rounding errors too.