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Finding the Fourth Proportional to 378,928.80, 567,644.40 and 192,074.40

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Solution

The fourth proportional to 378,928.80, 567,644.40 and 192,074.40 is: 287,732.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,928.80 : 567,644.40 = 192,074.40 : x
  2. Step 2: Convert to fraction form
    378,928.80/567,644.40 = 192,074.40/x
  3. Step 3: Cross multiply
    378,928.80x = 567,644.40 × 192,074.40
  4. Step 4: Simplify right side
    378,928.80x = 109,029,957,543.36
  5. Step 5: Solve for x
    x = 109,029,957,543.36/378,928.80
  6. Step 6: Final answer
    x = 287,732.04

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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.