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Finding the Fourth Proportional to 311,418, 429,757.32 and 177,282

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Solution

The fourth proportional to 311,418, 429,757.32 and 177,282 is: 244,649.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,418 : 429,757.32 = 177,282 : x
  2. Step 2: Convert to fraction form
    311,418/429,757.32 = 177,282/x
  3. Step 3: Cross multiply
    311,418x = 429,757.32 × 177,282
  4. Step 4: Simplify right side
    311,418x = 76,188,237,204.24
  5. Step 5: Solve for x
    x = 76,188,237,204.24/311,418
  6. Step 6: Final answer
    x = 244,649.43

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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.