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Finding the Fourth Proportional to 491,778.31, 678,718.74 and 276,960.37

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Solution

The fourth proportional to 491,778.31, 678,718.74 and 276,960.37 is: 382,241.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,778.31 : 678,718.74 = 276,960.37 : x
  2. Step 2: Convert to fraction form
    491,778.31/678,718.74 = 276,960.37/x
  3. Step 3: Cross multiply
    491,778.31x = 678,718.74 × 276,960.37
  4. Step 4: Simplify right side
    491,778.31x = 187,978,193,356.33
  5. Step 5: Solve for x
    x = 187,978,193,356.33/491,778.31
  6. Step 6: Final answer
    x = 382,241.73

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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.