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Finding the Fourth Proportional to 221,843.46, 332,515.32 and 109,285.20

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Solution

The fourth proportional to 221,843.46, 332,515.32 and 109,285.20 is: 163,804.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,843.46 : 332,515.32 = 109,285.20 : x
  2. Step 2: Convert to fraction form
    221,843.46/332,515.32 = 109,285.20/x
  3. Step 3: Cross multiply
    221,843.46x = 332,515.32 × 109,285.20
  4. Step 4: Simplify right side
    221,843.46x = 36,339,003,249.26
  5. Step 5: Solve for x
    x = 36,339,003,249.26/221,843.46
  6. Step 6: Final answer
    x = 163,804.71

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1.5x scale

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.