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Finding the Fourth Proportional to 311,591.72, 467,200.38 and 121,826

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Solution

The fourth proportional to 311,591.72, 467,200.38 and 121,826 is: 182,665.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,591.72 : 467,200.38 = 121,826 : x
  2. Step 2: Convert to fraction form
    311,591.72/467,200.38 = 121,826/x
  3. Step 3: Cross multiply
    311,591.72x = 467,200.38 × 121,826
  4. Step 4: Simplify right side
    311,591.72x = 56,917,153,493.88
  5. Step 5: Solve for x
    x = 56,917,153,493.88/311,591.72
  6. Step 6: Final answer
    x = 182,665.81

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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.