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Finding the Fourth Proportional to 321,591.45, 443,823.46 and 178,397.63

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Solution

The fourth proportional to 321,591.45, 443,823.46 and 178,397.63 is: 246,203.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,591.45 : 443,823.46 = 178,397.63 : x
  2. Step 2: Convert to fraction form
    321,591.45/443,823.46 = 178,397.63/x
  3. Step 3: Cross multiply
    321,591.45x = 443,823.46 × 178,397.63
  4. Step 4: Simplify right side
    321,591.45x = 79,177,050,737.29
  5. Step 5: Solve for x
    x = 79,177,050,737.29/321,591.45
  6. Step 6: Final answer
    x = 246,203.84

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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.