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Finding the Fourth Proportional to 321,290.40, 443,383.36 and 178,052.80

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Solution

The fourth proportional to 321,290.40, 443,383.36 and 178,052.80 is: 245,714.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,290.40 : 443,383.36 = 178,052.80 : x
  2. Step 2: Convert to fraction form
    321,290.40/443,383.36 = 178,052.80/x
  3. Step 3: Cross multiply
    321,290.40x = 443,383.36 × 178,052.80
  4. Step 4: Simplify right side
    321,290.40x = 78,945,648,721.41
  5. Step 5: Solve for x
    x = 78,945,648,721.41/321,290.40
  6. Step 6: Final answer
    x = 245,714.31

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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.