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Finding the Fourth Proportional to 543,455.30, 815,323.90 and 206,501.78

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Solution

The fourth proportional to 543,455.30, 815,323.90 and 206,501.78 is: 309,806.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,455.30 : 815,323.90 = 206,501.78 : x
  2. Step 2: Convert to fraction form
    543,455.30/815,323.90 = 206,501.78/x
  3. Step 3: Cross multiply
    543,455.30x = 815,323.90 × 206,501.78
  4. Step 4: Simplify right side
    543,455.30x = 168,365,836,626.54
  5. Step 5: Solve for x
    x = 168,365,836,626.54/543,455.30
  6. Step 6: Final answer
    x = 309,806.23

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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.