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Finding the Fourth Proportional to 381,686.60, 572,619.82 and 115,449.32

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Solution

The fourth proportional to 381,686.60, 572,619.82 and 115,449.32 is: 173,201.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,686.60 : 572,619.82 = 115,449.32 : x
  2. Step 2: Convert to fraction form
    381,686.60/572,619.82 = 115,449.32/x
  3. Step 3: Cross multiply
    381,686.60x = 572,619.82 × 115,449.32
  4. Step 4: Simplify right side
    381,686.60x = 66,108,568,837.52
  5. Step 5: Solve for x
    x = 66,108,568,837.52/381,686.60
  6. Step 6: Final answer
    x = 173,201.18

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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.