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Finding the Fourth Proportional to 339,488.46, 509,229.48 and 206,405.46

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Solution

The fourth proportional to 339,488.46, 509,229.48 and 206,405.46 is: 309,606.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,488.46 : 509,229.48 = 206,405.46 : x
  2. Step 2: Convert to fraction form
    339,488.46/509,229.48 = 206,405.46/x
  3. Step 3: Cross multiply
    339,488.46x = 509,229.48 × 206,405.46
  4. Step 4: Simplify right side
    339,488.46x = 105,107,745,064.96
  5. Step 5: Solve for x
    x = 105,107,745,064.96/339,488.46
  6. Step 6: Final answer
    x = 309,606.24

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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.