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Finding the Fourth Proportional to 538,432.60, 807,648.90 and 314,046.40

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Solution

The fourth proportional to 538,432.60, 807,648.90 and 314,046.40 is: 471,069.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,432.60 : 807,648.90 = 314,046.40 : x
  2. Step 2: Convert to fraction form
    538,432.60/807,648.90 = 314,046.40/x
  3. Step 3: Cross multiply
    538,432.60x = 807,648.90 × 314,046.40
  4. Step 4: Simplify right side
    538,432.60x = 253,639,229,508.96
  5. Step 5: Solve for x
    x = 253,639,229,508.96/538,432.60
  6. Step 6: Final answer
    x = 471,069.60

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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.