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Finding the Fourth Proportional to 438,238.68, 657,456.46 and 138,737.24

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Solution

The fourth proportional to 438,238.68, 657,456.46 and 138,737.24 is: 208,137.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,238.68 : 657,456.46 = 138,737.24 : x
  2. Step 2: Convert to fraction form
    438,238.68/657,456.46 = 138,737.24/x
  3. Step 3: Cross multiply
    438,238.68x = 657,456.46 × 138,737.24
  4. Step 4: Simplify right side
    438,238.68x = 91,213,694,680.57
  5. Step 5: Solve for x
    x = 91,213,694,680.57/438,238.68
  6. Step 6: Final answer
    x = 208,137.02

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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.