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Finding the Fourth Proportional to 412,600.53, 618,906.24 and 132,117.78

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Solution

The fourth proportional to 412,600.53, 618,906.24 and 132,117.78 is: 198,178.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,600.53 : 618,906.24 = 132,117.78 : x
  2. Step 2: Convert to fraction form
    412,600.53/618,906.24 = 132,117.78/x
  3. Step 3: Cross multiply
    412,600.53x = 618,906.24 × 132,117.78
  4. Step 4: Simplify right side
    412,600.53x = 81,768,518,456.95
  5. Step 5: Solve for x
    x = 81,768,518,456.95/412,600.53
  6. Step 6: Final answer
    x = 198,178.41

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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.