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Finding the Fourth Proportional to 256,562.16, 384,635.84 and 106,915.20

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Solution

The fourth proportional to 256,562.16, 384,635.84 and 106,915.20 is: 160,286.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,562.16 : 384,635.84 = 106,915.20 : x
  2. Step 2: Convert to fraction form
    256,562.16/384,635.84 = 106,915.20/x
  3. Step 3: Cross multiply
    256,562.16x = 384,635.84 × 106,915.20
  4. Step 4: Simplify right side
    256,562.16x = 41,123,417,760.77
  5. Step 5: Solve for x
    x = 41,123,417,760.77/256,562.16
  6. Step 6: Final answer
    x = 160,286.37

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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.