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Finding the Fourth Proportional to 327,989.80, 491,984.70 and 291,248.20

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Solution

The fourth proportional to 327,989.80, 491,984.70 and 291,248.20 is: 436,872.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,989.80 : 491,984.70 = 291,248.20 : x
  2. Step 2: Convert to fraction form
    327,989.80/491,984.70 = 291,248.20/x
  3. Step 3: Cross multiply
    327,989.80x = 491,984.70 × 291,248.20
  4. Step 4: Simplify right side
    327,989.80x = 143,289,658,302.54
  5. Step 5: Solve for x
    x = 143,289,658,302.54/327,989.80
  6. Step 6: Final answer
    x = 436,872.30

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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.