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Finding the Fourth Proportional to 331,360.31, 457,255.47 and 195,387.68

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Solution

The fourth proportional to 331,360.31, 457,255.47 and 195,387.68 is: 269,622.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,360.31 : 457,255.47 = 195,387.68 : x
  2. Step 2: Convert to fraction form
    331,360.31/457,255.47 = 195,387.68/x
  3. Step 3: Cross multiply
    331,360.31x = 457,255.47 × 195,387.68
  4. Step 4: Simplify right side
    331,360.31x = 89,342,083,164.33
  5. Step 5: Solve for x
    x = 89,342,083,164.33/331,360.31
  6. Step 6: Final answer
    x = 269,622.17

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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.