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Finding the Fourth Proportional to 458,501.40, 687,850.38 and 138,625.92

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Solution

The fourth proportional to 458,501.40, 687,850.38 and 138,625.92 is: 207,968.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,501.40 : 687,850.38 = 138,625.92 : x
  2. Step 2: Convert to fraction form
    458,501.40/687,850.38 = 138,625.92/x
  3. Step 3: Cross multiply
    458,501.40x = 687,850.38 × 138,625.92
  4. Step 4: Simplify right side
    458,501.40x = 95,353,891,749.85
  5. Step 5: Solve for x
    x = 95,353,891,749.85/458,501.40
  6. Step 6: Final answer
    x = 207,968.59

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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.