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Finding the Fourth Proportional to 259,410.87, 389,358.90 and 159,765.48

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Solution

The fourth proportional to 259,410.87, 389,358.90 and 159,765.48 is: 239,797.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,410.87 : 389,358.90 = 159,765.48 : x
  2. Step 2: Convert to fraction form
    259,410.87/389,358.90 = 159,765.48/x
  3. Step 3: Cross multiply
    259,410.87x = 389,358.90 × 159,765.48
  4. Step 4: Simplify right side
    259,410.87x = 62,206,111,550.77
  5. Step 5: Solve for x
    x = 62,206,111,550.77/259,410.87
  6. Step 6: Final answer
    x = 239,797.63

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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.