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Finding the Fourth Proportional to 282,371.92, 423,456.72 and 102,411.88

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Solution

The fourth proportional to 282,371.92, 423,456.72 and 102,411.88 is: 153,581.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,371.92 : 423,456.72 = 102,411.88 : x
  2. Step 2: Convert to fraction form
    282,371.92/423,456.72 = 102,411.88/x
  3. Step 3: Cross multiply
    282,371.92x = 423,456.72 × 102,411.88
  4. Step 4: Simplify right side
    282,371.92x = 43,366,998,793.83
  5. Step 5: Solve for x
    x = 43,366,998,793.83/282,371.92
  6. Step 6: Final answer
    x = 153,581.13

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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.