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Finding the Fourth Proportional to 321,192.95, 443,227.75 and 177,944.45

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Solution

The fourth proportional to 321,192.95, 443,227.75 and 177,944.45 is: 245,553.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,192.95 : 443,227.75 = 177,944.45 : x
  2. Step 2: Convert to fraction form
    321,192.95/443,227.75 = 177,944.45/x
  3. Step 3: Cross multiply
    321,192.95x = 443,227.75 × 177,944.45
  4. Step 4: Simplify right side
    321,192.95x = 78,869,915,537.49
  5. Step 5: Solve for x
    x = 78,869,915,537.49/321,192.95
  6. Step 6: Final answer
    x = 245,553.08

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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.