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Finding the Fourth Proportional to 326,892, 490,338 and 105,276

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Solution

The fourth proportional to 326,892, 490,338 and 105,276 is: 157,914

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,892 : 490,338 = 105,276 : x
  2. Step 2: Convert to fraction form
    326,892/490,338 = 105,276/x
  3. Step 3: Cross multiply
    326,892x = 490,338 × 105,276
  4. Step 4: Simplify right side
    326,892x = 51,620,823,288
  5. Step 5: Solve for x
    x = 51,620,823,288/326,892
  6. Step 6: Final answer
    x = 157,914

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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.