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Finding the Fourth Proportional to 311,665.92, 467,583.36 and 261,626.88

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Solution

The fourth proportional to 311,665.92, 467,583.36 and 261,626.88 is: 392,511.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,665.92 : 467,583.36 = 261,626.88 : x
  2. Step 2: Convert to fraction form
    311,665.92/467,583.36 = 261,626.88/x
  3. Step 3: Cross multiply
    311,665.92x = 467,583.36 × 261,626.88
  4. Step 4: Simplify right side
    311,665.92x = 122,332,375,616.72
  5. Step 5: Solve for x
    x = 122,332,375,616.72/311,665.92
  6. Step 6: Final answer
    x = 392,511.24

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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.