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Finding the Fourth Proportional to 206,405.16, 284,850.60 and 155,326

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Solution

The fourth proportional to 206,405.16, 284,850.60 and 155,326 is: 214,358.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,405.16 : 284,850.60 = 155,326 : x
  2. Step 2: Convert to fraction form
    206,405.16/284,850.60 = 155,326/x
  3. Step 3: Cross multiply
    206,405.16x = 284,850.60 × 155,326
  4. Step 4: Simplify right side
    206,405.16x = 44,244,704,295.60
  5. Step 5: Solve for x
    x = 44,244,704,295.60/206,405.16
  6. Step 6: Final answer
    x = 214,358.52

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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.