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Finding the Fourth Proportional to 311,626.33, 467,033.22 and 140,720.78

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Solution

The fourth proportional to 311,626.33, 467,033.22 and 140,720.78 is: 210,897.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,626.33 : 467,033.22 = 140,720.78 : x
  2. Step 2: Convert to fraction form
    311,626.33/467,033.22 = 140,720.78/x
  3. Step 3: Cross multiply
    311,626.33x = 467,033.22 × 140,720.78
  4. Step 4: Simplify right side
    311,626.33x = 65,721,279,004.31
  5. Step 5: Solve for x
    x = 65,721,279,004.31/311,626.33
  6. Step 6: Final answer
    x = 210,897.71

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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.