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Finding the Fourth Proportional to 418,542.90, 627,814.35 and 402,213.30

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Solution

The fourth proportional to 418,542.90, 627,814.35 and 402,213.30 is: 603,319.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,542.90 : 627,814.35 = 402,213.30 : x
  2. Step 2: Convert to fraction form
    418,542.90/627,814.35 = 402,213.30/x
  3. Step 3: Cross multiply
    418,542.90x = 627,814.35 × 402,213.30
  4. Step 4: Simplify right side
    418,542.90x = 252,515,281,500.86
  5. Step 5: Solve for x
    x = 252,515,281,500.86/418,542.90
  6. Step 6: Final answer
    x = 603,319.95

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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.