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Finding the Fourth Proportional to 384,209.82, 576,400.41 and 117,997.20

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Solution

The fourth proportional to 384,209.82, 576,400.41 and 117,997.20 is: 177,022.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,209.82 : 576,400.41 = 117,997.20 : x
  2. Step 2: Convert to fraction form
    384,209.82/576,400.41 = 117,997.20/x
  3. Step 3: Cross multiply
    384,209.82x = 576,400.41 × 117,997.20
  4. Step 4: Simplify right side
    384,209.82x = 68,013,634,458.85
  5. Step 5: Solve for x
    x = 68,013,634,458.85/384,209.82
  6. Step 6: Final answer
    x = 177,022.11

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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.