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Finding the Fourth Proportional to 431,976.66, 647,891.15 and 116,359.76

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Solution

The fourth proportional to 431,976.66, 647,891.15 and 116,359.76 is: 174,519.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,976.66 : 647,891.15 = 116,359.76 : x
  2. Step 2: Convert to fraction form
    431,976.66/647,891.15 = 116,359.76/x
  3. Step 3: Cross multiply
    431,976.66x = 647,891.15 × 116,359.76
  4. Step 4: Simplify right side
    431,976.66x = 75,388,454,898.87
  5. Step 5: Solve for x
    x = 75,388,454,898.87/431,976.66
  6. Step 6: Final answer
    x = 174,519.74

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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.