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Finding the Fourth Proportional to 299,523.12, 449,381.88 and 89,162.88

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Solution

The fourth proportional to 299,523.12, 449,381.88 and 89,162.88 is: 133,773.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,523.12 : 449,381.88 = 89,162.88 : x
  2. Step 2: Convert to fraction form
    299,523.12/449,381.88 = 89,162.88/x
  3. Step 3: Cross multiply
    299,523.12x = 449,381.88 × 89,162.88
  4. Step 4: Simplify right side
    299,523.12x = 40,068,182,640.61
  5. Step 5: Solve for x
    x = 40,068,182,640.61/299,523.12
  6. Step 6: Final answer
    x = 133,773.25

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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.