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Finding the Fourth Proportional to 281,974, 422,961 and 84,982

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Solution

The fourth proportional to 281,974, 422,961 and 84,982 is: 127,473

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,974 : 422,961 = 84,982 : x
  2. Step 2: Convert to fraction form
    281,974/422,961 = 84,982/x
  3. Step 3: Cross multiply
    281,974x = 422,961 × 84,982
  4. Step 4: Simplify right side
    281,974x = 35,944,071,702
  5. Step 5: Solve for x
    x = 35,944,071,702/281,974
  6. Step 6: Final answer
    x = 127,473

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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.