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Finding the Fourth Proportional to 270,302.44, 405,390.78 and 101,839.66

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Solution

The fourth proportional to 270,302.44, 405,390.78 and 101,839.66 is: 152,735.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,302.44 : 405,390.78 = 101,839.66 : x
  2. Step 2: Convert to fraction form
    270,302.44/405,390.78 = 101,839.66/x
  3. Step 3: Cross multiply
    270,302.44x = 405,390.78 × 101,839.66
  4. Step 4: Simplify right side
    270,302.44x = 41,284,859,202.33
  5. Step 5: Solve for x
    x = 41,284,859,202.33/270,302.44
  6. Step 6: Final answer
    x = 152,735.80

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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.