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Finding the Fourth Proportional to 339,995.90, 509,556.45 and 206,734.70

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Solution

The fourth proportional to 339,995.90, 509,556.45 and 206,734.70 is: 309,836.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,995.90 : 509,556.45 = 206,734.70 : x
  2. Step 2: Convert to fraction form
    339,995.90/509,556.45 = 206,734.70/x
  3. Step 3: Cross multiply
    339,995.90x = 509,556.45 × 206,734.70
  4. Step 4: Simplify right side
    339,995.90x = 105,342,999,823.82
  5. Step 5: Solve for x
    x = 105,342,999,823.82/339,995.90
  6. Step 6: Final answer
    x = 309,836.09

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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.