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Finding the Fourth Proportional to 276,282, 414,331.88 and 89,249.76

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Solution

The fourth proportional to 276,282, 414,331.88 and 89,249.76 is: 133,845.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,282 : 414,331.88 = 89,249.76 : x
  2. Step 2: Convert to fraction form
    276,282/414,331.88 = 89,249.76/x
  3. Step 3: Cross multiply
    276,282x = 414,331.88 × 89,249.76
  4. Step 4: Simplify right side
    276,282x = 36,979,020,404.10
  5. Step 5: Solve for x
    x = 36,979,020,404.10/276,282
  6. Step 6: Final answer
    x = 133,845.20

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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.