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Finding the Fourth Proportional to 924,714, 1,387,071 and 259,866

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Solution

The fourth proportional to 924,714, 1,387,071 and 259,866 is: 389,799

Step by Step Solution

  1. Step 1: Write the proportion equation
    924,714 : 1,387,071 = 259,866 : x
  2. Step 2: Convert to fraction form
    924,714/1,387,071 = 259,866/x
  3. Step 3: Cross multiply
    924,714x = 1,387,071 × 259,866
  4. Step 4: Simplify right side
    924,714x = 360,452,592,486
  5. Step 5: Solve for x
    x = 360,452,592,486/924,714
  6. Step 6: Final answer
    x = 389,799

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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.