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Finding the Fourth Proportional to 320,149.92, 480,494.20 and 160,177.88

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Solution

The fourth proportional to 320,149.92, 480,494.20 and 160,177.88 is: 240,401.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,149.92 : 480,494.20 = 160,177.88 : x
  2. Step 2: Convert to fraction form
    320,149.92/480,494.20 = 160,177.88/x
  3. Step 3: Cross multiply
    320,149.92x = 480,494.20 × 160,177.88
  4. Step 4: Simplify right side
    320,149.92x = 76,964,542,308.30
  5. Step 5: Solve for x
    x = 76,964,542,308.30/320,149.92
  6. Step 6: Final answer
    x = 240,401.57

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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.