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Finding the Fourth Proportional to 412,257.53, 618,468.79 and 142,395.52

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Solution

The fourth proportional to 412,257.53, 618,468.79 and 142,395.52 is: 213,621.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,257.53 : 618,468.79 = 142,395.52 : x
  2. Step 2: Convert to fraction form
    412,257.53/618,468.79 = 142,395.52/x
  3. Step 3: Cross multiply
    412,257.53x = 618,468.79 × 142,395.52
  4. Step 4: Simplify right side
    412,257.53x = 88,067,187,614.97
  5. Step 5: Solve for x
    x = 88,067,187,614.97/412,257.53
  6. Step 6: Final answer
    x = 213,621.78

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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.