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Finding the Fourth Proportional to 680,892, 1,021,338 and 182,256

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Solution

The fourth proportional to 680,892, 1,021,338 and 182,256 is: 273,384

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,892 : 1,021,338 = 182,256 : x
  2. Step 2: Convert to fraction form
    680,892/1,021,338 = 182,256/x
  3. Step 3: Cross multiply
    680,892x = 1,021,338 × 182,256
  4. Step 4: Simplify right side
    680,892x = 186,144,978,528
  5. Step 5: Solve for x
    x = 186,144,978,528/680,892
  6. Step 6: Final answer
    x = 273,384

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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.