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Finding the Fourth Proportional to 327,422.84, 491,134.40 and 147,297.87

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Solution

The fourth proportional to 327,422.84, 491,134.40 and 147,297.87 is: 220,946.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,422.84 : 491,134.40 = 147,297.87 : x
  2. Step 2: Convert to fraction form
    327,422.84/491,134.40 = 147,297.87/x
  3. Step 3: Cross multiply
    327,422.84x = 491,134.40 × 147,297.87
  4. Step 4: Simplify right side
    327,422.84x = 72,343,050,267.24
  5. Step 5: Solve for x
    x = 72,343,050,267.24/327,422.84
  6. Step 6: Final answer
    x = 220,946.87

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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.