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Finding the Fourth Proportional to 414,327.38, 620,408.12 and 389,073.17

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Solution

The fourth proportional to 414,327.38, 620,408.12 and 389,073.17 is: 582,592.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,327.38 : 620,408.12 = 389,073.17 : x
  2. Step 2: Convert to fraction form
    414,327.38/620,408.12 = 389,073.17/x
  3. Step 3: Cross multiply
    414,327.38x = 620,408.12 × 389,073.17
  4. Step 4: Simplify right side
    414,327.38x = 241,384,153,942.14
  5. Step 5: Solve for x
    x = 241,384,153,942.14/414,327.38
  6. Step 6: Final answer
    x = 582,592.81

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