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Finding the Fourth Proportional to 389,944, 538,123.44 and 211,096

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Solution

The fourth proportional to 389,944, 538,123.44 and 211,096 is: 291,312.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,944 : 538,123.44 = 211,096 : x
  2. Step 2: Convert to fraction form
    389,944/538,123.44 = 211,096/x
  3. Step 3: Cross multiply
    389,944x = 538,123.44 × 211,096
  4. Step 4: Simplify right side
    389,944x = 113,595,705,690.24
  5. Step 5: Solve for x
    x = 113,595,705,690.24/389,944
  6. Step 6: Final answer
    x = 291,312.87

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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.