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Finding the Fourth Proportional to 321,286.32, 443,368.80 and 193,967.28

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Solution

The fourth proportional to 321,286.32, 443,368.80 and 193,967.28 is: 267,671.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,286.32 : 443,368.80 = 193,967.28 : x
  2. Step 2: Convert to fraction form
    321,286.32/443,368.80 = 193,967.28/x
  3. Step 3: Cross multiply
    321,286.32x = 443,368.80 × 193,967.28
  4. Step 4: Simplify right side
    321,286.32x = 85,999,040,172.86
  5. Step 5: Solve for x
    x = 85,999,040,172.86/321,286.32
  6. Step 6: Final answer
    x = 267,671.03

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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.