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Finding the Fourth Proportional to 458,173.75, 687,371.72 and 138,306.50

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Solution

The fourth proportional to 458,173.75, 687,371.72 and 138,306.50 is: 207,493.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,173.75 : 687,371.72 = 138,306.50 : x
  2. Step 2: Convert to fraction form
    458,173.75/687,371.72 = 138,306.50/x
  3. Step 3: Cross multiply
    458,173.75x = 687,371.72 × 138,306.50
  4. Step 4: Simplify right side
    458,173.75x = 95,067,980,469.35
  5. Step 5: Solve for x
    x = 95,067,980,469.35/458,173.75
  6. Step 6: Final answer
    x = 207,493.30

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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.