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Finding the Fourth Proportional to 389,957, 538,140.66 and 211,109

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Solution

The fourth proportional to 389,957, 538,140.66 and 211,109 is: 291,330.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,957 : 538,140.66 = 211,109 : x
  2. Step 2: Convert to fraction form
    389,957/538,140.66 = 211,109/x
  3. Step 3: Cross multiply
    389,957x = 538,140.66 × 211,109
  4. Step 4: Simplify right side
    389,957x = 113,606,336,591.94
  5. Step 5: Solve for x
    x = 113,606,336,591.94/389,957
  6. Step 6: Final answer
    x = 291,330.42

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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.