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Finding the Fourth Proportional to 412,648.96, 618,571.68 and 213,194.56

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Solution

The fourth proportional to 412,648.96, 618,571.68 and 213,194.56 is: 319,584.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,648.96 : 618,571.68 = 213,194.56 : x
  2. Step 2: Convert to fraction form
    412,648.96/618,571.68 = 213,194.56/x
  3. Step 3: Cross multiply
    412,648.96x = 618,571.68 × 213,194.56
  4. Step 4: Simplify right side
    412,648.96x = 131,876,117,146.06
  5. Step 5: Solve for x
    x = 131,876,117,146.06/412,648.96
  6. Step 6: Final answer
    x = 319,584.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.