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Finding the Fourth Proportional to 327,478.65, 491,189.82 and 199,361.67

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Solution

The fourth proportional to 327,478.65, 491,189.82 and 199,361.67 is: 299,025.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,478.65 : 491,189.82 = 199,361.67 : x
  2. Step 2: Convert to fraction form
    327,478.65/491,189.82 = 199,361.67/x
  3. Step 3: Cross multiply
    327,478.65x = 491,189.82 × 199,361.67
  4. Step 4: Simplify right side
    327,478.65x = 97,924,422,802.20
  5. Step 5: Solve for x
    x = 97,924,422,802.20/327,478.65
  6. Step 6: Final answer
    x = 299,025.36

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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.