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Finding the Fourth Proportional to 656,165.60, 985,414.80 and 478,872.80

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Solution

The fourth proportional to 656,165.60, 985,414.80 and 478,872.80 is: 719,160.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,165.60 : 985,414.80 = 478,872.80 : x
  2. Step 2: Convert to fraction form
    656,165.60/985,414.80 = 478,872.80/x
  3. Step 3: Cross multiply
    656,165.60x = 985,414.80 × 478,872.80
  4. Step 4: Simplify right side
    656,165.60x = 471,888,344,437.44
  5. Step 5: Solve for x
    x = 471,888,344,437.44/656,165.60
  6. Step 6: Final answer
    x = 719,160.44

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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.