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Finding the Fourth Proportional to 288,078.80, 397,571.38 and 159,042.92

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Solution

The fourth proportional to 288,078.80, 397,571.38 and 159,042.92 is: 219,491.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,078.80 : 397,571.38 = 159,042.92 : x
  2. Step 2: Convert to fraction form
    288,078.80/397,571.38 = 159,042.92/x
  3. Step 3: Cross multiply
    288,078.80x = 397,571.38 × 159,042.92
  4. Step 4: Simplify right side
    288,078.80x = 63,230,913,183.63
  5. Step 5: Solve for x
    x = 63,230,913,183.63/288,078.80
  6. Step 6: Final answer
    x = 219,491.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.