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Finding the Fourth Proportional to 412,641.34, 618,964.34 and 187,844.54

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Solution

The fourth proportional to 412,641.34, 618,964.34 and 187,844.54 is: 281,767.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,641.34 : 618,964.34 = 187,844.54 : x
  2. Step 2: Convert to fraction form
    412,641.34/618,964.34 = 187,844.54/x
  3. Step 3: Cross multiply
    412,641.34x = 618,964.34 × 187,844.54
  4. Step 4: Simplify right side
    412,641.34x = 116,269,067,689.66
  5. Step 5: Solve for x
    x = 116,269,067,689.66/412,641.34
  6. Step 6: Final answer
    x = 281,767.86

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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.