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Finding the Fourth Proportional to 389,890, 538,049.82 and 211,042

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Solution

The fourth proportional to 389,890, 538,049.82 and 211,042 is: 291,238.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,890 : 538,049.82 = 211,042 : x
  2. Step 2: Convert to fraction form
    389,890/538,049.82 = 211,042/x
  3. Step 3: Cross multiply
    389,890x = 538,049.82 × 211,042
  4. Step 4: Simplify right side
    389,890x = 113,551,110,112.44
  5. Step 5: Solve for x
    x = 113,551,110,112.44/389,890
  6. Step 6: Final answer
    x = 291,238.84

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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.