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Finding the Fourth Proportional to 270,224.43, 405,198.93 and 90,245.11

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Solution

The fourth proportional to 270,224.43, 405,198.93 and 90,245.11 is: 135,321.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,224.43 : 405,198.93 = 90,245.11 : x
  2. Step 2: Convert to fraction form
    270,224.43/405,198.93 = 90,245.11/x
  3. Step 3: Cross multiply
    270,224.43x = 405,198.93 × 90,245.11
  4. Step 4: Simplify right side
    270,224.43x = 36,567,222,980.71
  5. Step 5: Solve for x
    x = 36,567,222,980.71/270,224.43
  6. Step 6: Final answer
    x = 135,321.68

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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.