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Finding the Fourth Proportional to 331,497.40, 457,450.50 and 188,238.52

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Solution

The fourth proportional to 331,497.40, 457,450.50 and 188,238.52 is: 259,760.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,497.40 : 457,450.50 = 188,238.52 : x
  2. Step 2: Convert to fraction form
    331,497.40/457,450.50 = 188,238.52/x
  3. Step 3: Cross multiply
    331,497.40x = 457,450.50 × 188,238.52
  4. Step 4: Simplify right side
    331,497.40x = 86,109,805,093.26
  5. Step 5: Solve for x
    x = 86,109,805,093.26/331,497.40
  6. Step 6: Final answer
    x = 259,760.12

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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.