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Finding the Fourth Proportional to 478,761.86, 718,167.40 and 123,778.96

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Solution

The fourth proportional to 478,761.86, 718,167.40 and 123,778.96 is: 185,674.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,761.86 : 718,167.40 = 123,778.96 : x
  2. Step 2: Convert to fraction form
    478,761.86/718,167.40 = 123,778.96/x
  3. Step 3: Cross multiply
    478,761.86x = 718,167.40 × 123,778.96
  4. Step 4: Simplify right side
    478,761.86x = 88,894,011,773.04
  5. Step 5: Solve for x
    x = 88,894,011,773.04/478,761.86
  6. Step 6: Final answer
    x = 185,674.80

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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.