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Finding the Fourth Proportional to 311,422, 429,762.84 and 177,286

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Solution

The fourth proportional to 311,422, 429,762.84 and 177,286 is: 244,654.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,422 : 429,762.84 = 177,286 : x
  2. Step 2: Convert to fraction form
    311,422/429,762.84 = 177,286/x
  3. Step 3: Cross multiply
    311,422x = 429,762.84 × 177,286
  4. Step 4: Simplify right side
    311,422x = 76,190,934,852.24
  5. Step 5: Solve for x
    x = 76,190,934,852.24/311,422
  6. Step 6: Final answer
    x = 244,654.95

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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.