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Finding the Fourth Proportional to 321,451.61, 482,277.78 and 193,507.97

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Solution

The fourth proportional to 321,451.61, 482,277.78 and 193,507.97 is: 290,322.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,451.61 : 482,277.78 = 193,507.97 : x
  2. Step 2: Convert to fraction form
    321,451.61/482,277.78 = 193,507.97/x
  3. Step 3: Cross multiply
    321,451.61x = 482,277.78 × 193,507.97
  4. Step 4: Simplify right side
    321,451.61x = 93,324,591,772.52
  5. Step 5: Solve for x
    x = 93,324,591,772.52/321,451.61
  6. Step 6: Final answer
    x = 290,322.37

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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.