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Finding the Fourth Proportional to 275,661.37, 413,564.96 and 149,245.48

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Solution

The fourth proportional to 275,661.37, 413,564.96 and 149,245.48 is: 223,907.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,661.37 : 413,564.96 = 149,245.48 : x
  2. Step 2: Convert to fraction form
    275,661.37/413,564.96 = 149,245.48/x
  3. Step 3: Cross multiply
    275,661.37x = 413,564.96 × 149,245.48
  4. Step 4: Simplify right side
    275,661.37x = 61,722,700,220.15
  5. Step 5: Solve for x
    x = 61,722,700,220.15/275,661.37
  6. Step 6: Final answer
    x = 223,907.69

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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.