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Finding the Fourth Proportional to 321,342.40, 443,453.44 and 178,104.80

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Solution

The fourth proportional to 321,342.40, 443,453.44 and 178,104.80 is: 245,785.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,342.40 : 443,453.44 = 178,104.80 : x
  2. Step 2: Convert to fraction form
    321,342.40/443,453.44 = 178,104.80/x
  3. Step 3: Cross multiply
    321,342.40x = 443,453.44 × 178,104.80
  4. Step 4: Simplify right side
    321,342.40x = 78,981,186,240.51
  5. Step 5: Solve for x
    x = 78,981,186,240.51/321,342.40
  6. Step 6: Final answer
    x = 245,785.14

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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.