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Finding the Fourth Proportional to 327,419.76, 491,129.64 and 216,585.84

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Solution

The fourth proportional to 327,419.76, 491,129.64 and 216,585.84 is: 324,878.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,419.76 : 491,129.64 = 216,585.84 : x
  2. Step 2: Convert to fraction form
    327,419.76/491,129.64 = 216,585.84/x
  3. Step 3: Cross multiply
    327,419.76x = 491,129.64 × 216,585.84
  4. Step 4: Simplify right side
    327,419.76x = 106,371,725,628.30
  5. Step 5: Solve for x
    x = 106,371,725,628.30/327,419.76
  6. Step 6: Final answer
    x = 324,878.76

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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.