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Finding the Fourth Proportional to 311,579.28, 467,193.84 and 129,154.32

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Solution

The fourth proportional to 311,579.28, 467,193.84 and 129,154.32 is: 193,658.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,579.28 : 467,193.84 = 129,154.32 : x
  2. Step 2: Convert to fraction form
    311,579.28/467,193.84 = 129,154.32/x
  3. Step 3: Cross multiply
    311,579.28x = 467,193.84 × 129,154.32
  4. Step 4: Simplify right side
    311,579.28x = 60,340,102,713.39
  5. Step 5: Solve for x
    x = 60,340,102,713.39/311,579.28
  6. Step 6: Final answer
    x = 193,658.91

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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.