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Finding the Fourth Proportional to 321,294.40, 443,388.80 and 178,056.80

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Solution

The fourth proportional to 321,294.40, 443,388.80 and 178,056.80 is: 245,719.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,294.40 : 443,388.80 = 178,056.80 : x
  2. Step 2: Convert to fraction form
    321,294.40/443,388.80 = 178,056.80/x
  3. Step 3: Cross multiply
    321,294.40x = 443,388.80 × 178,056.80
  4. Step 4: Simplify right side
    321,294.40x = 78,948,390,883.84
  5. Step 5: Solve for x
    x = 78,948,390,883.84/321,294.40
  6. Step 6: Final answer
    x = 245,719.78

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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.