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Finding the Fourth Proportional to 821,978, 1,232,967 and 231,002

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Solution

The fourth proportional to 821,978, 1,232,967 and 231,002 is: 346,503

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,978 : 1,232,967 = 231,002 : x
  2. Step 2: Convert to fraction form
    821,978/1,232,967 = 231,002/x
  3. Step 3: Cross multiply
    821,978x = 1,232,967 × 231,002
  4. Step 4: Simplify right side
    821,978x = 284,817,842,934
  5. Step 5: Solve for x
    x = 284,817,842,934/821,978
  6. Step 6: Final answer
    x = 346,503

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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.