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Finding the Fourth Proportional to 656,780.70, 985,098.15 and 538,245.30

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Solution

The fourth proportional to 656,780.70, 985,098.15 and 538,245.30 is: 807,308.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,780.70 : 985,098.15 = 538,245.30 : x
  2. Step 2: Convert to fraction form
    656,780.70/985,098.15 = 538,245.30/x
  3. Step 3: Cross multiply
    656,780.70x = 985,098.15 × 538,245.30
  4. Step 4: Simplify right side
    656,780.70x = 530,224,449,276.20
  5. Step 5: Solve for x
    x = 530,224,449,276.20/656,780.70
  6. Step 6: Final answer
    x = 807,308.21

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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.