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Finding the Fourth Proportional to 412,625.80, 618,941 and 187,829.04

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Solution

The fourth proportional to 412,625.80, 618,941 and 187,829.04 is: 281,744.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,625.80 : 618,941 = 187,829.04 : x
  2. Step 2: Convert to fraction form
    412,625.80/618,941 = 187,829.04/x
  3. Step 3: Cross multiply
    412,625.80x = 618,941 × 187,829.04
  4. Step 4: Simplify right side
    412,625.80x = 116,255,093,846.64
  5. Step 5: Solve for x
    x = 116,255,093,846.64/412,625.80
  6. Step 6: Final answer
    x = 281,744.61

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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.