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Finding the Fourth Proportional to 279,042.69, 418,519.20 and 76,591.50

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Solution

The fourth proportional to 279,042.69, 418,519.20 and 76,591.50 is: 114,874.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,042.69 : 418,519.20 = 76,591.50 : x
  2. Step 2: Convert to fraction form
    279,042.69/418,519.20 = 76,591.50/x
  3. Step 3: Cross multiply
    279,042.69x = 418,519.20 × 76,591.50
  4. Step 4: Simplify right side
    279,042.69x = 32,055,013,306.80
  5. Step 5: Solve for x
    x = 32,055,013,306.80/279,042.69
  6. Step 6: Final answer
    x = 114,874.94

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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.