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Finding the Fourth Proportional to 438,380.29, 657,603.38 and 138,884.41

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Solution

The fourth proportional to 438,380.29, 657,603.38 and 138,884.41 is: 208,337.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,380.29 : 657,603.38 = 138,884.41 : x
  2. Step 2: Convert to fraction form
    438,380.29/657,603.38 = 138,884.41/x
  3. Step 3: Cross multiply
    438,380.29x = 657,603.38 × 138,884.41
  4. Step 4: Simplify right side
    438,380.29x = 91,330,856,750.88
  5. Step 5: Solve for x
    x = 91,330,856,750.88/438,380.29
  6. Step 6: Final answer
    x = 208,337.05

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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.