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Finding the Fourth Proportional to 543,825.63, 815,738.75 and 206,788.48

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Solution

The fourth proportional to 543,825.63, 815,738.75 and 206,788.48 is: 310,182.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,825.63 : 815,738.75 = 206,788.48 : x
  2. Step 2: Convert to fraction form
    543,825.63/815,738.75 = 206,788.48/x
  3. Step 3: Cross multiply
    543,825.63x = 815,738.75 × 206,788.48
  4. Step 4: Simplify right side
    543,825.63x = 168,685,373,891.77
  5. Step 5: Solve for x
    x = 168,685,373,891.77/543,825.63
  6. Step 6: Final answer
    x = 310,182.83

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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.