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Finding the Fourth Proportional to 543,353.30, 815,003.63 and 206,367.65

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Solution

The fourth proportional to 543,353.30, 815,003.63 and 206,367.65 is: 309,541.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,353.30 : 815,003.63 = 206,367.65 : x
  2. Step 2: Convert to fraction form
    543,353.30/815,003.63 = 206,367.65/x
  3. Step 3: Cross multiply
    543,353.30x = 815,003.63 × 206,367.65
  4. Step 4: Simplify right side
    543,353.30x = 168,190,378,757.71
  5. Step 5: Solve for x
    x = 168,190,378,757.71/543,353.30
  6. Step 6: Final answer
    x = 309,541.47

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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.