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Finding the Fourth Proportional to 419,755.65, 629,447.72 and 120,167.97

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Solution

The fourth proportional to 419,755.65, 629,447.72 and 120,167.97 is: 180,198.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,755.65 : 629,447.72 = 120,167.97 : x
  2. Step 2: Convert to fraction form
    419,755.65/629,447.72 = 120,167.97/x
  3. Step 3: Cross multiply
    419,755.65x = 629,447.72 × 120,167.97
  4. Step 4: Simplify right side
    419,755.65x = 75,639,454,132.69
  5. Step 5: Solve for x
    x = 75,639,454,132.69/419,755.65
  6. Step 6: Final answer
    x = 180,198.78

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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.