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Finding the Fourth Proportional to 265,916.89, 398,814.49 and 76,375.75

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Solution

The fourth proportional to 265,916.89, 398,814.49 and 76,375.75 is: 114,546.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,916.89 : 398,814.49 = 76,375.75 : x
  2. Step 2: Convert to fraction form
    265,916.89/398,814.49 = 76,375.75/x
  3. Step 3: Cross multiply
    265,916.89x = 398,814.49 × 76,375.75
  4. Step 4: Simplify right side
    265,916.89x = 30,459,755,784.62
  5. Step 5: Solve for x
    x = 30,459,755,784.62/265,916.89
  6. Step 6: Final answer
    x = 114,546.15

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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.