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Finding the Fourth Proportional to 281,479.92, 422,174.52 and 123,678.96

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Solution

The fourth proportional to 281,479.92, 422,174.52 and 123,678.96 is: 185,498.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,479.92 : 422,174.52 = 123,678.96 : x
  2. Step 2: Convert to fraction form
    281,479.92/422,174.52 = 123,678.96/x
  3. Step 3: Cross multiply
    281,479.92x = 422,174.52 × 123,678.96
  4. Step 4: Simplify right side
    281,479.92x = 52,214,105,572.10
  5. Step 5: Solve for x
    x = 52,214,105,572.10/281,479.92
  6. Step 6: Final answer
    x = 185,498.51

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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.