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Finding the Fourth Proportional to 327,988.64, 491,675.76 and 178,008.80

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Solution

The fourth proportional to 327,988.64, 491,675.76 and 178,008.80 is: 266,846.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,988.64 : 491,675.76 = 178,008.80 : x
  2. Step 2: Convert to fraction form
    327,988.64/491,675.76 = 178,008.80/x
  3. Step 3: Cross multiply
    327,988.64x = 491,675.76 × 178,008.80
  4. Step 4: Simplify right side
    327,988.64x = 87,522,612,026.69
  5. Step 5: Solve for x
    x = 87,522,612,026.69/327,988.64
  6. Step 6: Final answer
    x = 266,846.47

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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.