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Finding the Fourth Proportional to 821,976, 1,232,964 and 231,000

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Solution

The fourth proportional to 821,976, 1,232,964 and 231,000 is: 346,500

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,976 : 1,232,964 = 231,000 : x
  2. Step 2: Convert to fraction form
    821,976/1,232,964 = 231,000/x
  3. Step 3: Cross multiply
    821,976x = 1,232,964 × 231,000
  4. Step 4: Simplify right side
    821,976x = 284,814,684,000
  5. Step 5: Solve for x
    x = 284,814,684,000/821,976
  6. Step 6: Final answer
    x = 346,500

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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.