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Finding the Fourth Proportional to 212,892, 318,700.44 and 205,321.68

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Solution

The fourth proportional to 212,892, 318,700.44 and 205,321.68 is: 307,367.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,892 : 318,700.44 = 205,321.68 : x
  2. Step 2: Convert to fraction form
    212,892/318,700.44 = 205,321.68/x
  3. Step 3: Cross multiply
    212,892x = 318,700.44 × 205,321.68
  4. Step 4: Simplify right side
    212,892x = 65,436,109,757.54
  5. Step 5: Solve for x
    x = 65,436,109,757.54/212,892
  6. Step 6: Final answer
    x = 307,367.63

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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.