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Finding the Fourth Proportional to 327,959.94, 491,939.90 and 187,620.14

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Solution

The fourth proportional to 327,959.94, 491,939.90 and 187,620.14 is: 281,430.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,959.94 : 491,939.90 = 187,620.14 : x
  2. Step 2: Convert to fraction form
    327,959.94/491,939.90 = 187,620.14/x
  3. Step 3: Cross multiply
    327,959.94x = 491,939.90 × 187,620.14
  4. Step 4: Simplify right side
    327,959.94x = 92,297,832,909.59
  5. Step 5: Solve for x
    x = 92,297,832,909.59/327,959.94
  6. Step 6: Final answer
    x = 281,430.20

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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.