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Finding the Fourth Proportional to 327,709.92, 491,064.12 and 220,698.20

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Solution

The fourth proportional to 327,709.92, 491,064.12 and 220,698.20 is: 330,710.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,709.92 : 491,064.12 = 220,698.20 : x
  2. Step 2: Convert to fraction form
    327,709.92/491,064.12 = 220,698.20/x
  3. Step 3: Cross multiply
    327,709.92x = 491,064.12 × 220,698.20
  4. Step 4: Simplify right side
    327,709.92x = 108,376,964,913.26
  5. Step 5: Solve for x
    x = 108,376,964,913.26/327,709.92
  6. Step 6: Final answer
    x = 330,710.05

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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.