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Finding the Fourth Proportional to 361,567.05, 498,910.08 and 200,422

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Solution

The fourth proportional to 361,567.05, 498,910.08 and 200,422 is: 276,553.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,567.05 : 498,910.08 = 200,422 : x
  2. Step 2: Convert to fraction form
    361,567.05/498,910.08 = 200,422/x
  3. Step 3: Cross multiply
    361,567.05x = 498,910.08 × 200,422
  4. Step 4: Simplify right side
    361,567.05x = 99,992,556,053.76
  5. Step 5: Solve for x
    x = 99,992,556,053.76/361,567.05
  6. Step 6: Final answer
    x = 276,553.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.