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Finding the Fourth Proportional to 331,662.50, 457,706.61 and 188,446.80

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Solution

The fourth proportional to 331,662.50, 457,706.61 and 188,446.80 is: 260,063.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,662.50 : 457,706.61 = 188,446.80 : x
  2. Step 2: Convert to fraction form
    331,662.50/457,706.61 = 188,446.80/x
  3. Step 3: Cross multiply
    331,662.50x = 457,706.61 × 188,446.80
  4. Step 4: Simplify right side
    331,662.50x = 86,253,345,993.35
  5. Step 5: Solve for x
    x = 86,253,345,993.35/331,662.50
  6. Step 6: Final answer
    x = 260,063.61

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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.