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Finding the Fourth Proportional to 438,229.32, 657,442.48 and 138,727.86

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Solution

The fourth proportional to 438,229.32, 657,442.48 and 138,727.86 is: 208,122.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,229.32 : 657,442.48 = 138,727.86 : x
  2. Step 2: Convert to fraction form
    438,229.32/657,442.48 = 138,727.86/x
  3. Step 3: Cross multiply
    438,229.32x = 657,442.48 × 138,727.86
  4. Step 4: Simplify right side
    438,229.32x = 91,205,588,323.49
  5. Step 5: Solve for x
    x = 91,205,588,323.49/438,229.32
  6. Step 6: Final answer
    x = 208,122.97

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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.