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Finding the Fourth Proportional to 299,781.70, 449,731.59 and 89,414.98

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Solution

The fourth proportional to 299,781.70, 449,731.59 and 89,414.98 is: 134,140.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,781.70 : 449,731.59 = 89,414.98 : x
  2. Step 2: Convert to fraction form
    299,781.70/449,731.59 = 89,414.98/x
  3. Step 3: Cross multiply
    299,781.70x = 449,731.59 × 89,414.98
  4. Step 4: Simplify right side
    299,781.70x = 40,212,741,125.22
  5. Step 5: Solve for x
    x = 40,212,741,125.22/299,781.70
  6. Step 6: Final answer
    x = 134,140.08

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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.