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Finding the Fourth Proportional to 327,680.58, 491,639.21 and 114,479.97

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Solution

The fourth proportional to 327,680.58, 491,639.21 and 114,479.97 is: 171,761.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,680.58 : 491,639.21 = 114,479.97 : x
  2. Step 2: Convert to fraction form
    327,680.58/491,639.21 = 114,479.97/x
  3. Step 3: Cross multiply
    327,680.58x = 491,639.21 × 114,479.97
  4. Step 4: Simplify right side
    327,680.58x = 56,282,842,011.62
  5. Step 5: Solve for x
    x = 56,282,842,011.62/327,680.58
  6. Step 6: Final answer
    x = 171,761.30

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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.