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Finding the Fourth Proportional to 412,598.35, 618,906.16 and 132,114.79

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Solution

The fourth proportional to 412,598.35, 618,906.16 and 132,114.79 is: 198,174.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,598.35 : 618,906.16 = 132,114.79 : x
  2. Step 2: Convert to fraction form
    412,598.35/618,906.16 = 132,114.79/x
  3. Step 3: Cross multiply
    412,598.35x = 618,906.16 × 132,114.79
  4. Step 4: Simplify right side
    412,598.35x = 81,766,655,975.98
  5. Step 5: Solve for x
    x = 81,766,655,975.98/412,598.35
  6. Step 6: Final answer
    x = 198,174.95

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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.