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Finding the Fourth Proportional to 290,473.62, 400,845.60 and 161,408.76

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Solution

The fourth proportional to 290,473.62, 400,845.60 and 161,408.76 is: 222,739.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,473.62 : 400,845.60 = 161,408.76 : x
  2. Step 2: Convert to fraction form
    290,473.62/400,845.60 = 161,408.76/x
  3. Step 3: Cross multiply
    290,473.62x = 400,845.60 × 161,408.76
  4. Step 4: Simplify right side
    290,473.62x = 64,699,991,247.46
  5. Step 5: Solve for x
    x = 64,699,991,247.46/290,473.62
  6. Step 6: Final answer
    x = 222,739.65

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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.