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Finding the Fourth Proportional to 412,642.34, 618,965.84 and 187,845.54

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Solution

The fourth proportional to 412,642.34, 618,965.84 and 187,845.54 is: 281,769.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,642.34 : 618,965.84 = 187,845.54 : x
  2. Step 2: Convert to fraction form
    412,642.34/618,965.84 = 187,845.54/x
  3. Step 3: Cross multiply
    412,642.34x = 618,965.84 × 187,845.54
  4. Step 4: Simplify right side
    412,642.34x = 116,269,972,456.35
  5. Step 5: Solve for x
    x = 116,269,972,456.35/412,642.34
  6. Step 6: Final answer
    x = 281,769.37

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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.