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Finding the Fourth Proportional to 487,732.80, 731,489.85 and 320,427.30

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Solution

The fourth proportional to 487,732.80, 731,489.85 and 320,427.30 is: 480,569.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,732.80 : 731,489.85 = 320,427.30 : x
  2. Step 2: Convert to fraction form
    487,732.80/731,489.85 = 320,427.30/x
  3. Step 3: Cross multiply
    487,732.80x = 731,489.85 × 320,427.30
  4. Step 4: Simplify right side
    487,732.80x = 234,389,317,612.91
  5. Step 5: Solve for x
    x = 234,389,317,612.91/487,732.80
  6. Step 6: Final answer
    x = 480,569.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.