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Finding the Fourth Proportional to 327,155.29, 490,768.13 and 137,634.96

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Solution

The fourth proportional to 327,155.29, 490,768.13 and 137,634.96 is: 206,467.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,155.29 : 490,768.13 = 137,634.96 : x
  2. Step 2: Convert to fraction form
    327,155.29/490,768.13 = 137,634.96/x
  3. Step 3: Cross multiply
    327,155.29x = 490,768.13 × 137,634.96
  4. Step 4: Simplify right side
    327,155.29x = 67,546,851,941.82
  5. Step 5: Solve for x
    x = 67,546,851,941.82/327,155.29
  6. Step 6: Final answer
    x = 206,467.25

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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.