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Finding the Fourth Proportional to 924,822, 1,387,233 and 259,974

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Solution

The fourth proportional to 924,822, 1,387,233 and 259,974 is: 389,961

Step by Step Solution

  1. Step 1: Write the proportion equation
    924,822 : 1,387,233 = 259,974 : x
  2. Step 2: Convert to fraction form
    924,822/1,387,233 = 259,974/x
  3. Step 3: Cross multiply
    924,822x = 1,387,233 × 259,974
  4. Step 4: Simplify right side
    924,822x = 360,644,511,942
  5. Step 5: Solve for x
    x = 360,644,511,942/924,822
  6. Step 6: Final answer
    x = 389,961

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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.