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Finding the Fourth Proportional to 220,696.96, 330,407.12 and 197,906.80

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Solution

The fourth proportional to 220,696.96, 330,407.12 and 197,906.80 is: 296,287.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,696.96 : 330,407.12 = 197,906.80 : x
  2. Step 2: Convert to fraction form
    220,696.96/330,407.12 = 197,906.80/x
  3. Step 3: Cross multiply
    220,696.96x = 330,407.12 × 197,906.80
  4. Step 4: Simplify right side
    220,696.96x = 65,389,815,816.42
  5. Step 5: Solve for x
    x = 65,389,815,816.42/220,696.96
  6. Step 6: Final answer
    x = 296,287.80

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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.