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Finding the Fourth Proportional to 279,742.56, 419,613.46 and 129,900.92

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Solution

The fourth proportional to 279,742.56, 419,613.46 and 129,900.92 is: 194,851.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,742.56 : 419,613.46 = 129,900.92 : x
  2. Step 2: Convert to fraction form
    279,742.56/419,613.46 = 129,900.92/x
  3. Step 3: Cross multiply
    279,742.56x = 419,613.46 × 129,900.92
  4. Step 4: Simplify right side
    279,742.56x = 54,508,172,806.26
  5. Step 5: Solve for x
    x = 54,508,172,806.26/279,742.56
  6. Step 6: Final answer
    x = 194,851.20

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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.