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Finding the Fourth Proportional to 387,074.30, 580,611.49 and 120,857.61

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Solution

The fourth proportional to 387,074.30, 580,611.49 and 120,857.61 is: 181,286.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,074.30 : 580,611.49 = 120,857.61 : x
  2. Step 2: Convert to fraction form
    387,074.30/580,611.49 = 120,857.61/x
  3. Step 3: Cross multiply
    387,074.30x = 580,611.49 × 120,857.61
  4. Step 4: Simplify right side
    387,074.30x = 70,171,317,019.94
  5. Step 5: Solve for x
    x = 70,171,317,019.94/387,074.30
  6. Step 6: Final answer
    x = 181,286.43

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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.