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Finding the Fourth Proportional to 321,680.58, 443,910.62 and 185,709.94

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Solution

The fourth proportional to 321,680.58, 443,910.62 and 185,709.94 is: 256,274.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,680.58 : 443,910.62 = 185,709.94 : x
  2. Step 2: Convert to fraction form
    321,680.58/443,910.62 = 185,709.94/x
  3. Step 3: Cross multiply
    321,680.58x = 443,910.62 × 185,709.94
  4. Step 4: Simplify right side
    321,680.58x = 82,438,614,605.56
  5. Step 5: Solve for x
    x = 82,438,614,605.56/321,680.58
  6. Step 6: Final answer
    x = 256,274.76

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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.