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Finding the Fourth Proportional to 438,035.78, 657,134.78 and 138,591.74

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Solution

The fourth proportional to 438,035.78, 657,134.78 and 138,591.74 is: 207,913.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,035.78 : 657,134.78 = 138,591.74 : x
  2. Step 2: Convert to fraction form
    438,035.78/657,134.78 = 138,591.74/x
  3. Step 3: Cross multiply
    438,035.78x = 657,134.78 × 138,591.74
  4. Step 4: Simplify right side
    438,035.78x = 91,073,453,524.60
  5. Step 5: Solve for x
    x = 91,073,453,524.60/438,035.78
  6. Step 6: Final answer
    x = 207,913.27

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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.