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Finding the Fourth Proportional to 311,906.05, 468,023.91 and 221,306.97

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Solution

The fourth proportional to 311,906.05, 468,023.91 and 221,306.97 is: 332,077.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,906.05 : 468,023.91 = 221,306.97 : x
  2. Step 2: Convert to fraction form
    311,906.05/468,023.91 = 221,306.97/x
  3. Step 3: Cross multiply
    311,906.05x = 468,023.91 × 221,306.97
  4. Step 4: Simplify right side
    311,906.05x = 103,576,953,409.65
  5. Step 5: Solve for x
    x = 103,576,953,409.65/311,906.05
  6. Step 6: Final answer
    x = 332,077.41

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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.