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Finding the Fourth Proportional to 311,025.60, 428,616.02 and 226,008

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Solution

The fourth proportional to 311,025.60, 428,616.02 and 226,008 is: 311,455.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,025.60 : 428,616.02 = 226,008 : x
  2. Step 2: Convert to fraction form
    311,025.60/428,616.02 = 226,008/x
  3. Step 3: Cross multiply
    311,025.60x = 428,616.02 × 226,008
  4. Step 4: Simplify right side
    311,025.60x = 96,870,649,448.16
  5. Step 5: Solve for x
    x = 96,870,649,448.16/311,025.60
  6. Step 6: Final answer
    x = 311,455.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.