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Finding the Fourth Proportional to 276,778.80, 381,841.44 and 204,354.96

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Solution

The fourth proportional to 276,778.80, 381,841.44 and 204,354.96 is: 281,926.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,778.80 : 381,841.44 = 204,354.96 : x
  2. Step 2: Convert to fraction form
    276,778.80/381,841.44 = 204,354.96/x
  3. Step 3: Cross multiply
    276,778.80x = 381,841.44 × 204,354.96
  4. Step 4: Simplify right side
    276,778.80x = 78,031,192,197.54
  5. Step 5: Solve for x
    x = 78,031,192,197.54/276,778.80
  6. Step 6: Final answer
    x = 281,926.19

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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.