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Finding the Fourth Proportional to 339,481.72, 509,219.34 and 206,398.72

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Solution

The fourth proportional to 339,481.72, 509,219.34 and 206,398.72 is: 309,596.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,481.72 : 509,219.34 = 206,398.72 : x
  2. Step 2: Convert to fraction form
    339,481.72/509,219.34 = 206,398.72/x
  3. Step 3: Cross multiply
    339,481.72x = 509,219.34 × 206,398.72
  4. Step 4: Simplify right side
    339,481.72x = 105,102,218,702.20
  5. Step 5: Solve for x
    x = 105,102,218,702.20/339,481.72
  6. Step 6: Final answer
    x = 309,596.11

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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.