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Finding the Fourth Proportional to 454,861.28, 681,738.42 and 321,779.90

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Solution

The fourth proportional to 454,861.28, 681,738.42 and 321,779.90 is: 482,278.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,861.28 : 681,738.42 = 321,779.90 : x
  2. Step 2: Convert to fraction form
    454,861.28/681,738.42 = 321,779.90/x
  3. Step 3: Cross multiply
    454,861.28x = 681,738.42 × 321,779.90
  4. Step 4: Simplify right side
    454,861.28x = 219,369,720,613.76
  5. Step 5: Solve for x
    x = 219,369,720,613.76/454,861.28
  6. Step 6: Final answer
    x = 482,278.29

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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.