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Finding the Fourth Proportional to 299,618, 449,500.92 and 89,255.12

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Solution

The fourth proportional to 299,618, 449,500.92 and 89,255.12 is: 133,904.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,618 : 449,500.92 = 89,255.12 : x
  2. Step 2: Convert to fraction form
    299,618/449,500.92 = 89,255.12/x
  3. Step 3: Cross multiply
    299,618x = 449,500.92 × 89,255.12
  4. Step 4: Simplify right side
    299,618x = 40,120,258,554.71
  5. Step 5: Solve for x
    x = 40,120,258,554.71/299,618
  6. Step 6: Final answer
    x = 133,904.70

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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.