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Finding the Fourth Proportional to 327,951.20, 491,840.40 and 103,311.20

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Solution

The fourth proportional to 327,951.20, 491,840.40 and 103,311.20 is: 154,939.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,951.20 : 491,840.40 = 103,311.20 : x
  2. Step 2: Convert to fraction form
    327,951.20/491,840.40 = 103,311.20/x
  3. Step 3: Cross multiply
    327,951.20x = 491,840.40 × 103,311.20
  4. Step 4: Simplify right side
    327,951.20x = 50,812,621,932.48
  5. Step 5: Solve for x
    x = 50,812,621,932.48/327,951.20
  6. Step 6: Final answer
    x = 154,939.58

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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.