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Finding the Fourth Proportional to 279,342.30, 419,120.97 and 129,659.10

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Solution

The fourth proportional to 279,342.30, 419,120.97 and 129,659.10 is: 194,538.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,342.30 : 419,120.97 = 129,659.10 : x
  2. Step 2: Convert to fraction form
    279,342.30/419,120.97 = 129,659.10/x
  3. Step 3: Cross multiply
    279,342.30x = 419,120.97 × 129,659.10
  4. Step 4: Simplify right side
    279,342.30x = 54,342,847,761.33
  5. Step 5: Solve for x
    x = 54,342,847,761.33/279,342.30
  6. Step 6: Final answer
    x = 194,538.56

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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.