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Finding the Fourth Proportional to 278,767.80, 384,732.54 and 165,591

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Solution

The fourth proportional to 278,767.80, 384,732.54 and 165,591 is: 228,535.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,767.80 : 384,732.54 = 165,591 : x
  2. Step 2: Convert to fraction form
    278,767.80/384,732.54 = 165,591/x
  3. Step 3: Cross multiply
    278,767.80x = 384,732.54 × 165,591
  4. Step 4: Simplify right side
    278,767.80x = 63,708,246,031.14
  5. Step 5: Solve for x
    x = 63,708,246,031.14/278,767.80
  6. Step 6: Final answer
    x = 228,535.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.