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Finding the Fourth Proportional to 491,761.22, 678,661.81 and 298,187.42

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Solution

The fourth proportional to 491,761.22, 678,661.81 and 298,187.42 is: 411,517.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,761.22 : 678,661.81 = 298,187.42 : x
  2. Step 2: Convert to fraction form
    491,761.22/678,661.81 = 298,187.42/x
  3. Step 3: Cross multiply
    491,761.22x = 678,661.81 × 298,187.42
  4. Step 4: Simplify right side
    491,761.22x = 202,368,410,037.65
  5. Step 5: Solve for x
    x = 202,368,410,037.65/491,761.22
  6. Step 6: Final answer
    x = 411,517.63

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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.