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Finding the Fourth Proportional to 288,198.19, 397,713.10 and 160,873.78

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Solution

The fourth proportional to 288,198.19, 397,713.10 and 160,873.78 is: 222,005.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,198.19 : 397,713.10 = 160,873.78 : x
  2. Step 2: Convert to fraction form
    288,198.19/397,713.10 = 160,873.78/x
  3. Step 3: Cross multiply
    288,198.19x = 397,713.10 × 160,873.78
  4. Step 4: Simplify right side
    288,198.19x = 63,981,609,752.52
  5. Step 5: Solve for x
    x = 63,981,609,752.52/288,198.19
  6. Step 6: Final answer
    x = 222,005.59

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1.5x scale

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.