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Finding the Fourth Proportional to 311,354, 429,669 and 177,218

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Solution

The fourth proportional to 311,354, 429,669 and 177,218 is: 244,561.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,354 : 429,669 = 177,218 : x
  2. Step 2: Convert to fraction form
    311,354/429,669 = 177,218/x
  3. Step 3: Cross multiply
    311,354x = 429,669 × 177,218
  4. Step 4: Simplify right side
    311,354x = 76,145,080,842
  5. Step 5: Solve for x
    x = 76,145,080,842/311,354
  6. Step 6: Final answer
    x = 244,561.11

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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.