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Finding the Fourth Proportional to 458,140.83, 687,310.02 and 138,265.96

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Solution

The fourth proportional to 458,140.83, 687,310.02 and 138,265.96 is: 207,428.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,140.83 : 687,310.02 = 138,265.96 : x
  2. Step 2: Convert to fraction form
    458,140.83/687,310.02 = 138,265.96/x
  3. Step 3: Cross multiply
    458,140.83x = 687,310.02 × 138,265.96
  4. Step 4: Simplify right side
    458,140.83x = 95,031,579,732.92
  5. Step 5: Solve for x
    x = 95,031,579,732.92/458,140.83
  6. Step 6: Final answer
    x = 207,428.75

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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.