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Finding the Fourth Proportional to 409,727.88, 614,591.87 and 129,267

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Solution

The fourth proportional to 409,727.88, 614,591.87 and 129,267 is: 193,900.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,727.88 : 614,591.87 = 129,267 : x
  2. Step 2: Convert to fraction form
    409,727.88/614,591.87 = 129,267/x
  3. Step 3: Cross multiply
    409,727.88x = 614,591.87 × 129,267
  4. Step 4: Simplify right side
    409,727.88x = 79,446,446,612.96
  5. Step 5: Solve for x
    x = 79,446,446,612.96/409,727.88
  6. Step 6: Final answer
    x = 193,900.51

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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.