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Finding the Fourth Proportional to 321,174.45, 443,223.90 and 177,936.48

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Solution

The fourth proportional to 321,174.45, 443,223.90 and 177,936.48 is: 245,554.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,174.45 : 443,223.90 = 177,936.48 : x
  2. Step 2: Convert to fraction form
    321,174.45/443,223.90 = 177,936.48/x
  3. Step 3: Cross multiply
    321,174.45x = 443,223.90 × 177,936.48
  4. Step 4: Simplify right side
    321,174.45x = 78,865,700,617.87
  5. Step 5: Solve for x
    x = 78,865,700,617.87/321,174.45
  6. Step 6: Final answer
    x = 245,554.09

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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.