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Finding the Fourth Proportional to 279,311.73, 419,175.46 and 137,233.27

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Solution

The fourth proportional to 279,311.73, 419,175.46 and 137,233.27 is: 205,952.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,311.73 : 419,175.46 = 137,233.27 : x
  2. Step 2: Convert to fraction form
    279,311.73/419,175.46 = 137,233.27/x
  3. Step 3: Cross multiply
    279,311.73x = 419,175.46 × 137,233.27
  4. Step 4: Simplify right side
    279,311.73x = 57,524,819,079.55
  5. Step 5: Solve for x
    x = 57,524,819,079.55/279,311.73
  6. Step 6: Final answer
    x = 205,952.03

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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.