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Finding the Fourth Proportional to 339,568.70, 468,409.64 and 212,022.86

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Solution

The fourth proportional to 339,568.70, 468,409.64 and 212,022.86 is: 292,469.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,568.70 : 468,409.64 = 212,022.86 : x
  2. Step 2: Convert to fraction form
    339,568.70/468,409.64 = 212,022.86/x
  3. Step 3: Cross multiply
    339,568.70x = 468,409.64 × 212,022.86
  4. Step 4: Simplify right side
    339,568.70x = 99,313,551,524.37
  5. Step 5: Solve for x
    x = 99,313,551,524.37/339,568.70
  6. Step 6: Final answer
    x = 292,469.69

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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.