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Finding the Fourth Proportional to 327,415.76, 491,123.64 and 216,581.84

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Solution

The fourth proportional to 327,415.76, 491,123.64 and 216,581.84 is: 324,872.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,415.76 : 491,123.64 = 216,581.84 : x
  2. Step 2: Convert to fraction form
    327,415.76/491,123.64 = 216,581.84/x
  3. Step 3: Cross multiply
    327,415.76x = 491,123.64 × 216,581.84
  4. Step 4: Simplify right side
    327,415.76x = 106,368,461,618.70
  5. Step 5: Solve for x
    x = 106,368,461,618.70/327,415.76
  6. Step 6: Final answer
    x = 324,872.76

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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.