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Finding the Fourth Proportional to 276,635.84, 381,753.71 and 155,778.57

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Solution

The fourth proportional to 276,635.84, 381,753.71 and 155,778.57 is: 214,972.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,635.84 : 381,753.71 = 155,778.57 : x
  2. Step 2: Convert to fraction form
    276,635.84/381,753.71 = 155,778.57/x
  3. Step 3: Cross multiply
    276,635.84x = 381,753.71 × 155,778.57
  4. Step 4: Simplify right side
    276,635.84x = 59,469,046,257.10
  5. Step 5: Solve for x
    x = 59,469,046,257.10/276,635.84
  6. Step 6: Final answer
    x = 214,972.32

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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.