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Finding the Fourth Proportional to 403,605, 605,408.25 and 378,942.81

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Solution

The fourth proportional to 403,605, 605,408.25 and 378,942.81 is: 568,414.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,605 : 605,408.25 = 378,942.81 : x
  2. Step 2: Convert to fraction form
    403,605/605,408.25 = 378,942.81/x
  3. Step 3: Cross multiply
    403,605x = 605,408.25 × 378,942.81
  4. Step 4: Simplify right side
    403,605x = 229,415,103,452.18
  5. Step 5: Solve for x
    x = 229,415,103,452.18/403,605
  6. Step 6: Final answer
    x = 568,414.92

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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.