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Finding the Fourth Proportional to 279,974, 419,961 and 82,982

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Solution

The fourth proportional to 279,974, 419,961 and 82,982 is: 124,473

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,974 : 419,961 = 82,982 : x
  2. Step 2: Convert to fraction form
    279,974/419,961 = 82,982/x
  3. Step 3: Cross multiply
    279,974x = 419,961 × 82,982
  4. Step 4: Simplify right side
    279,974x = 34,849,203,702
  5. Step 5: Solve for x
    x = 34,849,203,702/279,974
  6. Step 6: Final answer
    x = 124,473

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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.