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Finding the Fourth Proportional to 492,002.78, 738,107.76 and 278,872.79

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Solution

The fourth proportional to 492,002.78, 738,107.76 and 278,872.79 is: 418,367.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,002.78 : 738,107.76 = 278,872.79 : x
  2. Step 2: Convert to fraction form
    492,002.78/738,107.76 = 278,872.79/x
  3. Step 3: Cross multiply
    492,002.78x = 738,107.76 × 278,872.79
  4. Step 4: Simplify right side
    492,002.78x = 205,838,170,351.85
  5. Step 5: Solve for x
    x = 205,838,170,351.85/492,002.78
  6. Step 6: Final answer
    x = 418,367.90

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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.