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Finding the Fourth Proportional to 321,323.82, 443,438.64 and 193,974.78

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Solution

The fourth proportional to 321,323.82, 443,438.64 and 193,974.78 is: 267,692.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,323.82 : 443,438.64 = 193,974.78 : x
  2. Step 2: Convert to fraction form
    321,323.82/443,438.64 = 193,974.78/x
  3. Step 3: Cross multiply
    321,323.82x = 443,438.64 × 193,974.78
  4. Step 4: Simplify right side
    321,323.82x = 86,015,912,637.50
  5. Step 5: Solve for x
    x = 86,015,912,637.50/321,323.82
  6. Step 6: Final answer
    x = 267,692.30

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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.