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Finding the Fourth Proportional to 290,224.98, 400,497 and 161,171.65

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Solution

The fourth proportional to 290,224.98, 400,497 and 161,171.65 is: 222,409.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,224.98 : 400,497 = 161,171.65 : x
  2. Step 2: Convert to fraction form
    290,224.98/400,497 = 161,171.65/x
  3. Step 3: Cross multiply
    290,224.98x = 400,497 × 161,171.65
  4. Step 4: Simplify right side
    290,224.98x = 64,548,762,310.05
  5. Step 5: Solve for x
    x = 64,548,762,310.05/290,224.98
  6. Step 6: Final answer
    x = 222,409.40

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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.