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Finding the Fourth Proportional to 389,860.31, 538,008.85 and 211,012.31

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Solution

The fourth proportional to 389,860.31, 538,008.85 and 211,012.31 is: 291,197.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,860.31 : 538,008.85 = 211,012.31 : x
  2. Step 2: Convert to fraction form
    389,860.31/538,008.85 = 211,012.31/x
  3. Step 3: Cross multiply
    389,860.31x = 538,008.85 × 211,012.31
  4. Step 4: Simplify right side
    389,860.31x = 113,526,491,847.73
  5. Step 5: Solve for x
    x = 113,526,491,847.73/389,860.31
  6. Step 6: Final answer
    x = 291,197.87

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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.