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Finding the Fourth Proportional to 331,235.88, 457,639.94 and 231,081

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Solution

The fourth proportional to 331,235.88, 457,639.94 and 231,081 is: 319,264.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,235.88 : 457,639.94 = 231,081 : x
  2. Step 2: Convert to fraction form
    331,235.88/457,639.94 = 231,081/x
  3. Step 3: Cross multiply
    331,235.88x = 457,639.94 × 231,081
  4. Step 4: Simplify right side
    331,235.88x = 105,751,894,975.14
  5. Step 5: Solve for x
    x = 105,751,894,975.14/331,235.88
  6. Step 6: Final answer
    x = 319,264.61

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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.