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Finding the Fourth Proportional to 327,956.58, 491,934.96 and 253,185.87

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Solution

The fourth proportional to 327,956.58, 491,934.96 and 253,185.87 is: 379,778.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,956.58 : 491,934.96 = 253,185.87 : x
  2. Step 2: Convert to fraction form
    327,956.58/491,934.96 = 253,185.87/x
  3. Step 3: Cross multiply
    327,956.58x = 491,934.96 × 253,185.87
  4. Step 4: Simplify right side
    327,956.58x = 124,550,980,831.02
  5. Step 5: Solve for x
    x = 124,550,980,831.02/327,956.58
  6. Step 6: Final answer
    x = 379,778.87

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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.