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Finding the Fourth Proportional to 321,129.92, 443,153.49 and 177,889.52

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Solution

The fourth proportional to 321,129.92, 443,153.49 and 177,889.52 is: 245,484.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,129.92 : 443,153.49 = 177,889.52 : x
  2. Step 2: Convert to fraction form
    321,129.92/443,153.49 = 177,889.52/x
  3. Step 3: Cross multiply
    321,129.92x = 443,153.49 × 177,889.52
  4. Step 4: Simplify right side
    321,129.92x = 78,832,361,622.42
  5. Step 5: Solve for x
    x = 78,832,361,622.42/321,129.92
  6. Step 6: Final answer
    x = 245,484.32

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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.