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Finding the Fourth Proportional to 321,689.92, 443,641.44 and 200,842.24

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Solution

The fourth proportional to 321,689.92, 443,641.44 and 200,842.24 is: 276,980.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,689.92 : 443,641.44 = 200,842.24 : x
  2. Step 2: Convert to fraction form
    321,689.92/443,641.44 = 200,842.24/x
  3. Step 3: Cross multiply
    321,689.92x = 443,641.44 × 200,842.24
  4. Step 4: Simplify right side
    321,689.92x = 89,101,940,566.43
  5. Step 5: Solve for x
    x = 89,101,940,566.43/321,689.92
  6. Step 6: Final answer
    x = 276,980.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.