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Finding the Fourth Proportional to 458,139.33, 687,307.77 and 138,264.46

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Solution

The fourth proportional to 458,139.33, 687,307.77 and 138,264.46 is: 207,426.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,139.33 : 687,307.77 = 138,264.46 : x
  2. Step 2: Convert to fraction form
    458,139.33/687,307.77 = 138,264.46/x
  3. Step 3: Cross multiply
    458,139.33x = 687,307.77 × 138,264.46
  4. Step 4: Simplify right side
    458,139.33x = 95,030,234,793.62
  5. Step 5: Solve for x
    x = 95,030,234,793.62/458,139.33
  6. Step 6: Final answer
    x = 207,426.49

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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.