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Finding the Fourth Proportional to 646,632.88, 969,951.24 and 225,908.80

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Solution

The fourth proportional to 646,632.88, 969,951.24 and 225,908.80 is: 338,863.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,632.88 : 969,951.24 = 225,908.80 : x
  2. Step 2: Convert to fraction form
    646,632.88/969,951.24 = 225,908.80/x
  3. Step 3: Cross multiply
    646,632.88x = 969,951.24 × 225,908.80
  4. Step 4: Simplify right side
    646,632.88x = 219,120,520,686.91
  5. Step 5: Solve for x
    x = 219,120,520,686.91/646,632.88
  6. Step 6: Final answer
    x = 338,863.87

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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.