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Finding the Fourth Proportional to 279,786.84, 419,351.70 and 129,711.24

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Solution

The fourth proportional to 279,786.84, 419,351.70 and 129,711.24 is: 194,414.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,786.84 : 419,351.70 = 129,711.24 : x
  2. Step 2: Convert to fraction form
    279,786.84/419,351.70 = 129,711.24/x
  3. Step 3: Cross multiply
    279,786.84x = 419,351.70 × 129,711.24
  4. Step 4: Simplify right side
    279,786.84x = 54,394,629,003.11
  5. Step 5: Solve for x
    x = 54,394,629,003.11/279,786.84
  6. Step 6: Final answer
    x = 194,414.54

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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.