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Finding the Fourth Proportional to 321,195.95, 443,231.89 and 177,947.45

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Solution

The fourth proportional to 321,195.95, 443,231.89 and 177,947.45 is: 245,557.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,195.95 : 443,231.89 = 177,947.45 : x
  2. Step 2: Convert to fraction form
    321,195.95/443,231.89 = 177,947.45/x
  3. Step 3: Cross multiply
    321,195.95x = 443,231.89 × 177,947.45
  4. Step 4: Simplify right side
    321,195.95x = 78,871,984,584.18
  5. Step 5: Solve for x
    x = 78,871,984,584.18/321,195.95
  6. Step 6: Final answer
    x = 245,557.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.