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Finding the Fourth Proportional to 389,909.52, 538,076.82 and 211,061.52

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Solution

The fourth proportional to 389,909.52, 538,076.82 and 211,061.52 is: 291,265.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,909.52 : 538,076.82 = 211,061.52 : x
  2. Step 2: Convert to fraction form
    389,909.52/538,076.82 = 211,061.52/x
  3. Step 3: Cross multiply
    389,909.52x = 538,076.82 × 211,061.52
  4. Step 4: Simplify right side
    389,909.52x = 113,567,311,505.97
  5. Step 5: Solve for x
    x = 113,567,311,505.97/389,909.52
  6. Step 6: Final answer
    x = 291,265.81

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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.