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Finding the Fourth Proportional to 924,788, 1,387,182 and 259,940

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Solution

The fourth proportional to 924,788, 1,387,182 and 259,940 is: 389,910

Step by Step Solution

  1. Step 1: Write the proportion equation
    924,788 : 1,387,182 = 259,940 : x
  2. Step 2: Convert to fraction form
    924,788/1,387,182 = 259,940/x
  3. Step 3: Cross multiply
    924,788x = 1,387,182 × 259,940
  4. Step 4: Simplify right side
    924,788x = 360,584,089,080
  5. Step 5: Solve for x
    x = 360,584,089,080/924,788
  6. Step 6: Final answer
    x = 389,910

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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.