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Finding the Fourth Proportional to 290,906.10, 436,355.24 and 113,537.70

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Solution

The fourth proportional to 290,906.10, 436,355.24 and 113,537.70 is: 170,305.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,906.10 : 436,355.24 = 113,537.70 : x
  2. Step 2: Convert to fraction form
    290,906.10/436,355.24 = 113,537.70/x
  3. Step 3: Cross multiply
    290,906.10x = 436,355.24 × 113,537.70
  4. Step 4: Simplify right side
    290,906.10x = 49,542,769,764.86
  5. Step 5: Solve for x
    x = 49,542,769,764.86/290,906.10
  6. Step 6: Final answer
    x = 170,305.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.