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Finding the Fourth Proportional to 290,224.23, 400,495.97 and 161,170.90

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Solution

The fourth proportional to 290,224.23, 400,495.97 and 161,170.90 is: 222,408.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,224.23 : 400,495.97 = 161,170.90 : x
  2. Step 2: Convert to fraction form
    290,224.23/400,495.97 = 161,170.90/x
  3. Step 3: Cross multiply
    290,224.23x = 400,495.97 × 161,170.90
  4. Step 4: Simplify right side
    290,224.23x = 64,548,293,928.79
  5. Step 5: Solve for x
    x = 64,548,293,928.79/290,224.23
  6. Step 6: Final answer
    x = 222,408.36

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1.5x scale

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.