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Finding the Fourth Proportional to 538,067.21, 806,820.55 and 200,830.49

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Solution

The fourth proportional to 538,067.21, 806,820.55 and 200,830.49 is: 301,141.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,067.21 : 806,820.55 = 200,830.49 : x
  2. Step 2: Convert to fraction form
    538,067.21/806,820.55 = 200,830.49/x
  3. Step 3: Cross multiply
    538,067.21x = 806,820.55 × 200,830.49
  4. Step 4: Simplify right side
    538,067.21x = 162,034,164,887.97
  5. Step 5: Solve for x
    x = 162,034,164,887.97/538,067.21
  6. Step 6: Final answer
    x = 301,141.13

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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.