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Finding the Fourth Proportional to 270,212.70, 405,181.47 and 90,233.42

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Solution

The fourth proportional to 270,212.70, 405,181.47 and 90,233.42 is: 135,304.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,212.70 : 405,181.47 = 90,233.42 : x
  2. Step 2: Convert to fraction form
    270,212.70/405,181.47 = 90,233.42/x
  3. Step 3: Cross multiply
    270,212.70x = 405,181.47 × 90,233.42
  4. Step 4: Simplify right side
    270,212.70x = 36,560,907,732.82
  5. Step 5: Solve for x
    x = 36,560,907,732.82/270,212.70
  6. Step 6: Final answer
    x = 135,304.18

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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.