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Finding the Fourth Proportional to 384,336.80, 576,505.20 and 378,431.90

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Solution

The fourth proportional to 384,336.80, 576,505.20 and 378,431.90 is: 567,647.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,336.80 : 576,505.20 = 378,431.90 : x
  2. Step 2: Convert to fraction form
    384,336.80/576,505.20 = 378,431.90/x
  3. Step 3: Cross multiply
    384,336.80x = 576,505.20 × 378,431.90
  4. Step 4: Simplify right side
    384,336.80x = 218,167,958,195.88
  5. Step 5: Solve for x
    x = 218,167,958,195.88/384,336.80
  6. Step 6: Final answer
    x = 567,647.85

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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.