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Finding the Fourth Proportional to 438,041.40, 657,066.96 and 138,514.68

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Solution

The fourth proportional to 438,041.40, 657,066.96 and 138,514.68 is: 207,773.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,041.40 : 657,066.96 = 138,514.68 : x
  2. Step 2: Convert to fraction form
    438,041.40/657,066.96 = 138,514.68/x
  3. Step 3: Cross multiply
    438,041.40x = 657,066.96 × 138,514.68
  4. Step 4: Simplify right side
    438,041.40x = 91,013,419,702.97
  5. Step 5: Solve for x
    x = 91,013,419,702.97/438,041.40
  6. Step 6: Final answer
    x = 207,773.56

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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.