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Finding the Fourth Proportional to 515,452.80, 712,006.20 and 429,691.92

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Solution

The fourth proportional to 515,452.80, 712,006.20 and 429,691.92 is: 593,542.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,452.80 : 712,006.20 = 429,691.92 : x
  2. Step 2: Convert to fraction form
    515,452.80/712,006.20 = 429,691.92/x
  3. Step 3: Cross multiply
    515,452.80x = 712,006.20 × 429,691.92
  4. Step 4: Simplify right side
    515,452.80x = 305,943,311,129.90
  5. Step 5: Solve for x
    x = 305,943,311,129.90/515,452.80
  6. Step 6: Final answer
    x = 593,542.83

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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.