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Finding the Fourth Proportional to 385,506.42, 531,951.89 and 213,411.39

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Solution

The fourth proportional to 385,506.42, 531,951.89 and 213,411.39 is: 294,481.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,506.42 : 531,951.89 = 213,411.39 : x
  2. Step 2: Convert to fraction form
    385,506.42/531,951.89 = 213,411.39/x
  3. Step 3: Cross multiply
    385,506.42x = 531,951.89 × 213,411.39
  4. Step 4: Simplify right side
    385,506.42x = 113,524,591,190.97
  5. Step 5: Solve for x
    x = 113,524,591,190.97/385,506.42
  6. Step 6: Final answer
    x = 294,481.71

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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.