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Finding the Fourth Proportional to 281,991, 422,941.14 and 82,264.44

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Solution

The fourth proportional to 281,991, 422,941.14 and 82,264.44 is: 123,383.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,991 : 422,941.14 = 82,264.44 : x
  2. Step 2: Convert to fraction form
    281,991/422,941.14 = 82,264.44/x
  3. Step 3: Cross multiply
    281,991x = 422,941.14 × 82,264.44
  4. Step 4: Simplify right side
    281,991x = 34,793,016,035.06
  5. Step 5: Solve for x
    x = 34,793,016,035.06/281,991
  6. Step 6: Final answer
    x = 123,383.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.