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Finding the Fourth Proportional to 691,228, 1,036,842 and 165,916

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Solution

The fourth proportional to 691,228, 1,036,842 and 165,916 is: 248,874

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,228 : 1,036,842 = 165,916 : x
  2. Step 2: Convert to fraction form
    691,228/1,036,842 = 165,916/x
  3. Step 3: Cross multiply
    691,228x = 1,036,842 × 165,916
  4. Step 4: Simplify right side
    691,228x = 172,028,677,272
  5. Step 5: Solve for x
    x = 172,028,677,272/691,228
  6. Step 6: Final answer
    x = 248,874

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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.