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Finding the Fourth Proportional to 276,646.62, 381,778.84 and 154,147.28

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Solution

The fourth proportional to 276,646.62, 381,778.84 and 154,147.28 is: 212,726.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,646.62 : 381,778.84 = 154,147.28 : x
  2. Step 2: Convert to fraction form
    276,646.62/381,778.84 = 154,147.28/x
  3. Step 3: Cross multiply
    276,646.62x = 381,778.84 × 154,147.28
  4. Step 4: Simplify right side
    276,646.62x = 58,850,169,747.56
  5. Step 5: Solve for x
    x = 58,850,169,747.56/276,646.62
  6. Step 6: Final answer
    x = 212,726.87

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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.