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Finding the Fourth Proportional to 412,925.60, 619,388.40 and 132,471.20

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Solution

The fourth proportional to 412,925.60, 619,388.40 and 132,471.20 is: 198,706.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,925.60 : 619,388.40 = 132,471.20 : x
  2. Step 2: Convert to fraction form
    412,925.60/619,388.40 = 132,471.20/x
  3. Step 3: Cross multiply
    412,925.60x = 619,388.40 × 132,471.20
  4. Step 4: Simplify right side
    412,925.60x = 82,051,124,614.08
  5. Step 5: Solve for x
    x = 82,051,124,614.08/412,925.60
  6. Step 6: Final answer
    x = 198,706.80

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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.