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Finding the Fourth Proportional to 491,834.11, 678,760 and 300,884.10

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Solution

The fourth proportional to 491,834.11, 678,760 and 300,884.10 is: 415,237.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,834.11 : 678,760 = 300,884.10 : x
  2. Step 2: Convert to fraction form
    491,834.11/678,760 = 300,884.10/x
  3. Step 3: Cross multiply
    491,834.11x = 678,760 × 300,884.10
  4. Step 4: Simplify right side
    491,834.11x = 204,228,091,716.00
  5. Step 5: Solve for x
    x = 204,228,091,716.00/491,834.11
  6. Step 6: Final answer
    x = 415,237.76

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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.