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Finding the Fourth Proportional to 327,536.82, 491,277 and 199,419.90

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Solution

The fourth proportional to 327,536.82, 491,277 and 199,419.90 is: 299,112.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,536.82 : 491,277 = 199,419.90 : x
  2. Step 2: Convert to fraction form
    327,536.82/491,277 = 199,419.90/x
  3. Step 3: Cross multiply
    327,536.82x = 491,277 × 199,419.90
  4. Step 4: Simplify right side
    327,536.82x = 97,970,410,212.30
  5. Step 5: Solve for x
    x = 97,970,410,212.30/327,536.82
  6. Step 6: Final answer
    x = 299,112.66

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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.