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Finding the Fourth Proportional to 821,992, 1,232,988 and 231,016

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Solution

The fourth proportional to 821,992, 1,232,988 and 231,016 is: 346,524

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,992 : 1,232,988 = 231,016 : x
  2. Step 2: Convert to fraction form
    821,992/1,232,988 = 231,016/x
  3. Step 3: Cross multiply
    821,992x = 1,232,988 × 231,016
  4. Step 4: Simplify right side
    821,992x = 284,839,955,808
  5. Step 5: Solve for x
    x = 284,839,955,808/821,992
  6. Step 6: Final answer
    x = 346,524

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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.