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Finding the Fourth Proportional to 256,684.34, 385,361.85 and 206,110.37

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Solution

The fourth proportional to 256,684.34, 385,361.85 and 206,110.37 is: 309,434.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,684.34 : 385,361.85 = 206,110.37 : x
  2. Step 2: Convert to fraction form
    256,684.34/385,361.85 = 206,110.37/x
  3. Step 3: Cross multiply
    256,684.34x = 385,361.85 × 206,110.37
  4. Step 4: Simplify right side
    256,684.34x = 79,427,073,487.38
  5. Step 5: Solve for x
    x = 79,427,073,487.38/256,684.34
  6. Step 6: Final answer
    x = 309,434.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.