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Finding the Fourth Proportional to 502,414.20, 753,621.30 and 342,981.90

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Solution

The fourth proportional to 502,414.20, 753,621.30 and 342,981.90 is: 514,472.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,414.20 : 753,621.30 = 342,981.90 : x
  2. Step 2: Convert to fraction form
    502,414.20/753,621.30 = 342,981.90/x
  3. Step 3: Cross multiply
    502,414.20x = 753,621.30 × 342,981.90
  4. Step 4: Simplify right side
    502,414.20x = 258,478,465,354.47
  5. Step 5: Solve for x
    x = 258,478,465,354.47/502,414.20
  6. Step 6: Final answer
    x = 514,472.85

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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.