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Finding the Fourth Proportional to 412,061.80, 618,092.70 and 318,634.60

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Solution

The fourth proportional to 412,061.80, 618,092.70 and 318,634.60 is: 477,951.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,061.80 : 618,092.70 = 318,634.60 : x
  2. Step 2: Convert to fraction form
    412,061.80/618,092.70 = 318,634.60/x
  3. Step 3: Cross multiply
    412,061.80x = 618,092.70 × 318,634.60
  4. Step 4: Simplify right side
    412,061.80x = 196,945,720,227.42
  5. Step 5: Solve for x
    x = 196,945,720,227.42/412,061.80
  6. Step 6: Final answer
    x = 477,951.90

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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.