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Finding the Fourth Proportional to 389,942, 538,120.68 and 211,094

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Solution

The fourth proportional to 389,942, 538,120.68 and 211,094 is: 291,310.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,942 : 538,120.68 = 211,094 : x
  2. Step 2: Convert to fraction form
    389,942/538,120.68 = 211,094/x
  3. Step 3: Cross multiply
    389,942x = 538,120.68 × 211,094
  4. Step 4: Simplify right side
    389,942x = 113,594,046,823.92
  5. Step 5: Solve for x
    x = 113,594,046,823.92/389,942
  6. Step 6: Final answer
    x = 291,310.11

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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.