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Finding the Fourth Proportional to 508,684, 701,983.92 and 282,331.12

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Solution

The fourth proportional to 508,684, 701,983.92 and 282,331.12 is: 389,616.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,684 : 701,983.92 = 282,331.12 : x
  2. Step 2: Convert to fraction form
    508,684/701,983.92 = 282,331.12/x
  3. Step 3: Cross multiply
    508,684x = 701,983.92 × 282,331.12
  4. Step 4: Simplify right side
    508,684x = 198,191,906,355.59
  5. Step 5: Solve for x
    x = 198,191,906,355.59/508,684
  6. Step 6: Final answer
    x = 389,616.95

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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.