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Finding the Fourth Proportional to 321,592.59, 443,825.01 and 178,398.75

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Solution

The fourth proportional to 321,592.59, 443,825.01 and 178,398.75 is: 246,205.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,592.59 : 443,825.01 = 178,398.75 : x
  2. Step 2: Convert to fraction form
    321,592.59/443,825.01 = 178,398.75/x
  3. Step 3: Cross multiply
    321,592.59x = 443,825.01 × 178,398.75
  4. Step 4: Simplify right side
    321,592.59x = 79,177,827,002.74
  5. Step 5: Solve for x
    x = 79,177,827,002.74/321,592.59
  6. Step 6: Final answer
    x = 246,205.38

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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.