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Finding the Fourth Proportional to 217,131.40, 323,771.56 and 202,653.44

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Solution

The fourth proportional to 217,131.40, 323,771.56 and 202,653.44 is: 302,183.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,131.40 : 323,771.56 = 202,653.44 : x
  2. Step 2: Convert to fraction form
    217,131.40/323,771.56 = 202,653.44/x
  3. Step 3: Cross multiply
    217,131.40x = 323,771.56 × 202,653.44
  4. Step 4: Simplify right side
    217,131.40x = 65,613,420,408.17
  5. Step 5: Solve for x
    x = 65,613,420,408.17/217,131.40
  6. Step 6: Final answer
    x = 302,183.01

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.