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Finding the Fourth Proportional to 331,760, 457,815.21 and 186,561.65

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Solution

The fourth proportional to 331,760, 457,815.21 and 186,561.65 is: 257,447.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,760 : 457,815.21 = 186,561.65 : x
  2. Step 2: Convert to fraction form
    331,760/457,815.21 = 186,561.65/x
  3. Step 3: Cross multiply
    331,760x = 457,815.21 × 186,561.65
  4. Step 4: Simplify right side
    331,760x = 85,410,760,972.70
  5. Step 5: Solve for x
    x = 85,410,760,972.70/331,760
  6. Step 6: Final answer
    x = 257,447.43

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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.