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Finding the Fourth Proportional to 319,847.75, 441,428.78 and 185,711.75

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Solution

The fourth proportional to 319,847.75, 441,428.78 and 185,711.75 is: 256,304.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,847.75 : 441,428.78 = 185,711.75 : x
  2. Step 2: Convert to fraction form
    319,847.75/441,428.78 = 185,711.75/x
  3. Step 3: Cross multiply
    319,847.75x = 441,428.78 × 185,711.75
  4. Step 4: Simplify right side
    319,847.75x = 81,978,511,234.17
  5. Step 5: Solve for x
    x = 81,978,511,234.17/319,847.75
  6. Step 6: Final answer
    x = 256,304.79

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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.