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Finding the Fourth Proportional to 412,942.28, 618,995.08 and 279,836

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Solution

The fourth proportional to 412,942.28, 618,995.08 and 279,836 is: 419,470.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,942.28 : 618,995.08 = 279,836 : x
  2. Step 2: Convert to fraction form
    412,942.28/618,995.08 = 279,836/x
  3. Step 3: Cross multiply
    412,942.28x = 618,995.08 × 279,836
  4. Step 4: Simplify right side
    412,942.28x = 173,217,107,206.88
  5. Step 5: Solve for x
    x = 173,217,107,206.88/412,942.28
  6. Step 6: Final answer
    x = 419,470.51

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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.