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Finding the Fourth Proportional to 321,051.39, 443,054.17 and 193,702.38

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Solution

The fourth proportional to 321,051.39, 443,054.17 and 193,702.38 is: 267,311.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,051.39 : 443,054.17 = 193,702.38 : x
  2. Step 2: Convert to fraction form
    321,051.39/443,054.17 = 193,702.38/x
  3. Step 3: Cross multiply
    321,051.39x = 443,054.17 × 193,702.38
  4. Step 4: Simplify right side
    321,051.39x = 85,820,647,197.92
  5. Step 5: Solve for x
    x = 85,820,647,197.92/321,051.39
  6. Step 6: Final answer
    x = 267,311.25

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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.