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Finding the Fourth Proportional to 381,684.60, 572,616.82 and 115,447.32

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Solution

The fourth proportional to 381,684.60, 572,616.82 and 115,447.32 is: 173,198.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,684.60 : 572,616.82 = 115,447.32 : x
  2. Step 2: Convert to fraction form
    381,684.60/572,616.82 = 115,447.32/x
  3. Step 3: Cross multiply
    381,684.60x = 572,616.82 × 115,447.32
  4. Step 4: Simplify right side
    381,684.60x = 66,107,077,255.92
  5. Step 5: Solve for x
    x = 66,107,077,255.92/381,684.60
  6. Step 6: Final answer
    x = 173,198.18

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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.