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Finding the Fourth Proportional to 412,965.54, 619,374.24 and 109,361.61

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Solution

The fourth proportional to 412,965.54, 619,374.24 and 109,361.61 is: 164,022.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,965.54 : 619,374.24 = 109,361.61 : x
  2. Step 2: Convert to fraction form
    412,965.54/619,374.24 = 109,361.61/x
  3. Step 3: Cross multiply
    412,965.54x = 619,374.24 × 109,361.61
  4. Step 4: Simplify right side
    412,965.54x = 67,735,764,078.93
  5. Step 5: Solve for x
    x = 67,735,764,078.93/412,965.54
  6. Step 6: Final answer
    x = 164,022.80

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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.