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Finding the Fourth Proportional to 321,274.38, 443,361.26 and 178,036.80

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Solution

The fourth proportional to 321,274.38, 443,361.26 and 178,036.80 is: 245,692.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,274.38 : 443,361.26 = 178,036.80 : x
  2. Step 2: Convert to fraction form
    321,274.38/443,361.26 = 178,036.80/x
  3. Step 3: Cross multiply
    321,274.38x = 443,361.26 × 178,036.80
  4. Step 4: Simplify right side
    321,274.38x = 78,934,619,974.37
  5. Step 5: Solve for x
    x = 78,934,619,974.37/321,274.38
  6. Step 6: Final answer
    x = 245,692.23

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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.