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Finding the Fourth Proportional to 412,668.20, 618,987.71 and 113,143.97

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Solution

The fourth proportional to 412,668.20, 618,987.71 and 113,143.97 is: 169,711.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,668.20 : 618,987.71 = 113,143.97 : x
  2. Step 2: Convert to fraction form
    412,668.20/618,987.71 = 113,143.97/x
  3. Step 3: Cross multiply
    412,668.20x = 618,987.71 × 113,143.97
  4. Step 4: Simplify right side
    412,668.20x = 70,034,723,229.95
  5. Step 5: Solve for x
    x = 70,034,723,229.95/412,668.20
  6. Step 6: Final answer
    x = 169,711.95

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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.