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Finding the Fourth Proportional to 419,648.04, 629,472.11 and 120,129.71

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Solution

The fourth proportional to 419,648.04, 629,472.11 and 120,129.71 is: 180,194.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,648.04 : 629,472.11 = 120,129.71 : x
  2. Step 2: Convert to fraction form
    419,648.04/629,472.11 = 120,129.71/x
  3. Step 3: Cross multiply
    419,648.04x = 629,472.11 × 120,129.71
  4. Step 4: Simplify right side
    419,648.04x = 75,618,298,279.38
  5. Step 5: Solve for x
    x = 75,618,298,279.38/419,648.04
  6. Step 6: Final answer
    x = 180,194.57

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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.