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Finding the Fourth Proportional to 275,788.21, 413,807.07 and 140,782.54

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Solution

The fourth proportional to 275,788.21, 413,807.07 and 140,782.54 is: 211,237.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,788.21 : 413,807.07 = 140,782.54 : x
  2. Step 2: Convert to fraction form
    275,788.21/413,807.07 = 140,782.54/x
  3. Step 3: Cross multiply
    275,788.21x = 413,807.07 × 140,782.54
  4. Step 4: Simplify right side
    275,788.21x = 58,256,809,350.04
  5. Step 5: Solve for x
    x = 58,256,809,350.04/275,788.21
  6. Step 6: Final answer
    x = 211,237.49

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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.