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Finding the Fourth Proportional to 311,836.47, 467,750.59 and 75,177.25

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Solution

The fourth proportional to 311,836.47, 467,750.59 and 75,177.25 is: 112,764.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,836.47 : 467,750.59 = 75,177.25 : x
  2. Step 2: Convert to fraction form
    311,836.47/467,750.59 = 75,177.25/x
  3. Step 3: Cross multiply
    311,836.47x = 467,750.59 × 75,177.25
  4. Step 4: Simplify right side
    311,836.47x = 35,164,201,966.67
  5. Step 5: Solve for x
    x = 35,164,201,966.67/311,836.47
  6. Step 6: Final answer
    x = 112,764.88

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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.