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Finding the Fourth Proportional to 321,696.96, 443,943 and 178,456.56

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Solution

The fourth proportional to 321,696.96, 443,943 and 178,456.56 is: 246,270.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,696.96 : 443,943 = 178,456.56 : x
  2. Step 2: Convert to fraction form
    321,696.96/443,943 = 178,456.56/x
  3. Step 3: Cross multiply
    321,696.96x = 443,943 × 178,456.56
  4. Step 4: Simplify right side
    321,696.96x = 79,224,540,616.08
  5. Step 5: Solve for x
    x = 79,224,540,616.08/321,696.96
  6. Step 6: Final answer
    x = 246,270.72

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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.