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Finding the Fourth Proportional to 299,310.26, 413,115.82 and 203,855

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Solution

The fourth proportional to 299,310.26, 413,115.82 and 203,855 is: 281,365.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,310.26 : 413,115.82 = 203,855 : x
  2. Step 2: Convert to fraction form
    299,310.26/413,115.82 = 203,855/x
  3. Step 3: Cross multiply
    299,310.26x = 413,115.82 × 203,855
  4. Step 4: Simplify right side
    299,310.26x = 84,215,725,486.10
  5. Step 5: Solve for x
    x = 84,215,725,486.10/299,310.26
  6. Step 6: Final answer
    x = 281,365.98

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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.