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Finding the Fourth Proportional to 311,879.73, 467,819.19 and 75,222.45

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Solution

The fourth proportional to 311,879.73, 467,819.19 and 75,222.45 is: 112,833.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,879.73 : 467,819.19 = 75,222.45 : x
  2. Step 2: Convert to fraction form
    311,879.73/467,819.19 = 75,222.45/x
  3. Step 3: Cross multiply
    311,879.73x = 467,819.19 × 75,222.45
  4. Step 4: Simplify right side
    311,879.73x = 35,190,505,628.82
  5. Step 5: Solve for x
    x = 35,190,505,628.82/311,879.73
  6. Step 6: Final answer
    x = 112,833.58

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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.