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Finding the Fourth Proportional to 311,584.28, 467,201.34 and 129,159.32

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Solution

The fourth proportional to 311,584.28, 467,201.34 and 129,159.32 is: 193,666.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,584.28 : 467,201.34 = 129,159.32 : x
  2. Step 2: Convert to fraction form
    311,584.28/467,201.34 = 129,159.32/x
  3. Step 3: Cross multiply
    311,584.28x = 467,201.34 × 129,159.32
  4. Step 4: Simplify right side
    311,584.28x = 60,343,407,377.49
  5. Step 5: Solve for x
    x = 60,343,407,377.49/311,584.28
  6. Step 6: Final answer
    x = 193,666.41

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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.