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Finding the Fourth Proportional to 438,520.17, 657,862.26 and 138,920.30

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Solution

The fourth proportional to 438,520.17, 657,862.26 and 138,920.30 is: 208,406.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,520.17 : 657,862.26 = 138,920.30 : x
  2. Step 2: Convert to fraction form
    438,520.17/657,862.26 = 138,920.30/x
  3. Step 3: Cross multiply
    438,520.17x = 657,862.26 × 138,920.30
  4. Step 4: Simplify right side
    438,520.17x = 91,390,422,517.88
  5. Step 5: Solve for x
    x = 91,390,422,517.88/438,520.17
  6. Step 6: Final answer
    x = 208,406.43

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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.