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Finding the Fourth Proportional to 543,319.28, 814,978.16 and 206,359.28

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Solution

The fourth proportional to 543,319.28, 814,978.16 and 206,359.28 is: 309,538.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,319.28 : 814,978.16 = 206,359.28 : x
  2. Step 2: Convert to fraction form
    543,319.28/814,978.16 = 206,359.28/x
  3. Step 3: Cross multiply
    543,319.28x = 814,978.16 × 206,359.28
  4. Step 4: Simplify right side
    543,319.28x = 168,178,306,313.33
  5. Step 5: Solve for x
    x = 168,178,306,313.33/543,319.28
  6. Step 6: Final answer
    x = 309,538.63

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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.