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Finding the Fourth Proportional to 254,414.26, 381,634.90 and 76,916.74

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Solution

The fourth proportional to 254,414.26, 381,634.90 and 76,916.74 is: 115,379.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,414.26 : 381,634.90 = 76,916.74 : x
  2. Step 2: Convert to fraction form
    254,414.26/381,634.90 = 76,916.74/x
  3. Step 3: Cross multiply
    254,414.26x = 381,634.90 × 76,916.74
  4. Step 4: Simplify right side
    254,414.26x = 29,354,112,378.23
  5. Step 5: Solve for x
    x = 29,354,112,378.23/254,414.26
  6. Step 6: Final answer
    x = 115,379.19

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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.