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Finding the Fourth Proportional to 327,278.16, 490,862.16 and 90,644.76

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Solution

The fourth proportional to 327,278.16, 490,862.16 and 90,644.76 is: 135,951.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,278.16 : 490,862.16 = 90,644.76 : x
  2. Step 2: Convert to fraction form
    327,278.16/490,862.16 = 90,644.76/x
  3. Step 3: Cross multiply
    327,278.16x = 490,862.16 × 90,644.76
  4. Step 4: Simplify right side
    327,278.16x = 44,494,082,686.28
  5. Step 5: Solve for x
    x = 44,494,082,686.28/327,278.16
  6. Step 6: Final answer
    x = 135,951.88

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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.