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Finding the Fourth Proportional to 386,843.40, 580,265.10 and 120,601.80

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Solution

The fourth proportional to 386,843.40, 580,265.10 and 120,601.80 is: 180,902.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,843.40 : 580,265.10 = 120,601.80 : x
  2. Step 2: Convert to fraction form
    386,843.40/580,265.10 = 120,601.80/x
  3. Step 3: Cross multiply
    386,843.40x = 580,265.10 × 120,601.80
  4. Step 4: Simplify right side
    386,843.40x = 69,981,015,537.18
  5. Step 5: Solve for x
    x = 69,981,015,537.18/386,843.40
  6. Step 6: Final answer
    x = 180,902.70

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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.