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Finding the Fourth Proportional to 409,591.20, 614,473.20 and 129,136.80

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Solution

The fourth proportional to 409,591.20, 614,473.20 and 129,136.80 is: 193,732.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,591.20 : 614,473.20 = 129,136.80 : x
  2. Step 2: Convert to fraction form
    409,591.20/614,473.20 = 129,136.80/x
  3. Step 3: Cross multiply
    409,591.20x = 614,473.20 × 129,136.80
  4. Step 4: Simplify right side
    409,591.20x = 79,351,102,733.76
  5. Step 5: Solve for x
    x = 79,351,102,733.76/409,591.20
  6. Step 6: Final answer
    x = 193,732.44

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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.