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Finding the Fourth Proportional to 389,877.75, 538,032.92 and 211,029.75

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Solution

The fourth proportional to 389,877.75, 538,032.92 and 211,029.75 is: 291,221.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,877.75 : 538,032.92 = 211,029.75 : x
  2. Step 2: Convert to fraction form
    389,877.75/538,032.92 = 211,029.75/x
  3. Step 3: Cross multiply
    389,877.75x = 538,032.92 × 211,029.75
  4. Step 4: Simplify right side
    389,877.75x = 113,540,951,544.22
  5. Step 5: Solve for x
    x = 113,540,951,544.22/389,877.75
  6. Step 6: Final answer
    x = 291,221.93

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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.