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Finding the Fourth Proportional to 491,778.32, 678,718.74 and 276,960.38

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Solution

The fourth proportional to 491,778.32, 678,718.74 and 276,960.38 is: 382,241.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,778.32 : 678,718.74 = 276,960.38 : x
  2. Step 2: Convert to fraction form
    491,778.32/678,718.74 = 276,960.38/x
  3. Step 3: Cross multiply
    491,778.32x = 678,718.74 × 276,960.38
  4. Step 4: Simplify right side
    491,778.32x = 187,978,200,143.52
  5. Step 5: Solve for x
    x = 187,978,200,143.52/491,778.32
  6. Step 6: Final answer
    x = 382,241.74

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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.