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Finding the Fourth Proportional to 811,188, 1,216,785.24 and 220,212

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Solution

The fourth proportional to 811,188, 1,216,785.24 and 220,212 is: 330,318.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,188 : 1,216,785.24 = 220,212 : x
  2. Step 2: Convert to fraction form
    811,188/1,216,785.24 = 220,212/x
  3. Step 3: Cross multiply
    811,188x = 1,216,785.24 × 220,212
  4. Step 4: Simplify right side
    811,188x = 267,950,711,270.88
  5. Step 5: Solve for x
    x = 267,950,711,270.88/811,188
  6. Step 6: Final answer
    x = 330,318.88

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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.