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Finding the Fourth Proportional to 290,591.72, 401,033.70 and 218,845.16

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Solution

The fourth proportional to 290,591.72, 401,033.70 and 218,845.16 is: 302,019.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,591.72 : 401,033.70 = 218,845.16 : x
  2. Step 2: Convert to fraction form
    290,591.72/401,033.70 = 218,845.16/x
  3. Step 3: Cross multiply
    290,591.72x = 401,033.70 × 218,845.16
  4. Step 4: Simplify right side
    290,591.72x = 87,764,284,241.89
  5. Step 5: Solve for x
    x = 87,764,284,241.89/290,591.72
  6. Step 6: Final answer
    x = 302,019.22

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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.