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Finding the Fourth Proportional to 819,446.52, 1,229,281.95 and 279,557.85

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Solution

The fourth proportional to 819,446.52, 1,229,281.95 and 279,557.85 is: 419,375.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,446.52 : 1,229,281.95 = 279,557.85 : x
  2. Step 2: Convert to fraction form
    819,446.52/1,229,281.95 = 279,557.85/x
  3. Step 3: Cross multiply
    819,446.52x = 1,229,281.95 × 279,557.85
  4. Step 4: Simplify right side
    819,446.52x = 343,655,417,729.25
  5. Step 5: Solve for x
    x = 343,655,417,729.25/819,446.52
  6. Step 6: Final answer
    x = 419,375.04

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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.