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Finding the Fourth Proportional to 322,968.71, 445,234.86 and 227,178.11

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Solution

The fourth proportional to 322,968.71, 445,234.86 and 227,178.11 is: 313,180.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,968.71 : 445,234.86 = 227,178.11 : x
  2. Step 2: Convert to fraction form
    322,968.71/445,234.86 = 227,178.11/x
  3. Step 3: Cross multiply
    322,968.71x = 445,234.86 × 227,178.11
  4. Step 4: Simplify right side
    322,968.71x = 101,147,611,774.74
  5. Step 5: Solve for x
    x = 101,147,611,774.74/322,968.71
  6. Step 6: Final answer
    x = 313,180.84

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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.