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Finding the Fourth Proportional to 321,592.45, 443,824.84 and 178,398.63

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Solution

The fourth proportional to 321,592.45, 443,824.84 and 178,398.63 is: 246,205.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,592.45 : 443,824.84 = 178,398.63 : x
  2. Step 2: Convert to fraction form
    321,592.45/443,824.84 = 178,398.63/x
  3. Step 3: Cross multiply
    321,592.45x = 443,824.84 × 178,398.63
  4. Step 4: Simplify right side
    321,592.45x = 79,177,743,415.97
  5. Step 5: Solve for x
    x = 79,177,743,415.97/321,592.45
  6. Step 6: Final answer
    x = 246,205.23

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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.