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Finding the Fourth Proportional to 285,851.97, 394,468.79 and 156,792.15

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Solution

The fourth proportional to 285,851.97, 394,468.79 and 156,792.15 is: 216,369.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,851.97 : 394,468.79 = 156,792.15 : x
  2. Step 2: Convert to fraction form
    285,851.97/394,468.79 = 156,792.15/x
  3. Step 3: Cross multiply
    285,851.97x = 394,468.79 × 156,792.15
  4. Step 4: Simplify right side
    285,851.97x = 61,849,608,908.04
  5. Step 5: Solve for x
    x = 61,849,608,908.04/285,851.97
  6. Step 6: Final answer
    x = 216,369.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.