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Finding the Fourth Proportional to 403,198.36, 605,171.15 and 203,658.60

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Solution

The fourth proportional to 403,198.36, 605,171.15 and 203,658.60 is: 305,676.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,198.36 : 605,171.15 = 203,658.60 : x
  2. Step 2: Convert to fraction form
    403,198.36/605,171.15 = 203,658.60/x
  3. Step 3: Cross multiply
    403,198.36x = 605,171.15 × 203,658.60
  4. Step 4: Simplify right side
    403,198.36x = 123,248,311,184.21
  5. Step 5: Solve for x
    x = 123,248,311,184.21/403,198.36
  6. Step 6: Final answer
    x = 305,676.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.