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Finding the Fourth Proportional to 279,806.20, 419,358.13 and 119,694.17

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Solution

The fourth proportional to 279,806.20, 419,358.13 and 119,694.17 is: 179,391.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,806.20 : 419,358.13 = 119,694.17 : x
  2. Step 2: Convert to fraction form
    279,806.20/419,358.13 = 119,694.17/x
  3. Step 3: Cross multiply
    279,806.20x = 419,358.13 × 119,694.17
  4. Step 4: Simplify right side
    279,806.20x = 50,194,724,052.26
  5. Step 5: Solve for x
    x = 50,194,724,052.26/279,806.20
  6. Step 6: Final answer
    x = 179,391.04

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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.