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Finding the Fourth Proportional to 491,872.06, 678,765.50 and 274,069.48

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Solution

The fourth proportional to 491,872.06, 678,765.50 and 274,069.48 is: 378,205.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,872.06 : 678,765.50 = 274,069.48 : x
  2. Step 2: Convert to fraction form
    491,872.06/678,765.50 = 274,069.48/x
  3. Step 3: Cross multiply
    491,872.06x = 678,765.50 × 274,069.48
  4. Step 4: Simplify right side
    491,872.06x = 186,028,907,626.94
  5. Step 5: Solve for x
    x = 186,028,907,626.94/491,872.06
  6. Step 6: Final answer
    x = 378,205.88

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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.