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Finding the Fourth Proportional to 412,660.41, 618,992.67 and 187,863.58

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Solution

The fourth proportional to 412,660.41, 618,992.67 and 187,863.58 is: 281,796.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,660.41 : 618,992.67 = 187,863.58 : x
  2. Step 2: Convert to fraction form
    412,660.41/618,992.67 = 187,863.58/x
  3. Step 3: Cross multiply
    412,660.41x = 618,992.67 × 187,863.58
  4. Step 4: Simplify right side
    412,660.41x = 116,286,178,979.96
  5. Step 5: Solve for x
    x = 116,286,178,979.96/412,660.41
  6. Step 6: Final answer
    x = 281,796.31

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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.