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Finding the Fourth Proportional to 288,063.29, 397,527.41 and 160,738.79

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Solution

The fourth proportional to 288,063.29, 397,527.41 and 160,738.79 is: 221,819.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,063.29 : 397,527.41 = 160,738.79 : x
  2. Step 2: Convert to fraction form
    288,063.29/397,527.41 = 160,738.79/x
  3. Step 3: Cross multiply
    288,063.29x = 397,527.41 × 160,738.79
  4. Step 4: Simplify right side
    288,063.29x = 63,898,073,289.44
  5. Step 5: Solve for x
    x = 63,898,073,289.44/288,063.29
  6. Step 6: Final answer
    x = 221,819.56

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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.