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Finding the Fourth Proportional to 327,414.64, 490,911.36 and 137,997.76

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Solution

The fourth proportional to 327,414.64, 490,911.36 and 137,997.76 is: 206,907.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,414.64 : 490,911.36 = 137,997.76 : x
  2. Step 2: Convert to fraction form
    327,414.64/490,911.36 = 137,997.76/x
  3. Step 3: Cross multiply
    327,414.64x = 490,911.36 × 137,997.76
  4. Step 4: Simplify right side
    327,414.64x = 67,744,668,038.55
  5. Step 5: Solve for x
    x = 67,744,668,038.55/327,414.64
  6. Step 6: Final answer
    x = 206,907.88

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1.5x scale

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.