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Finding the Fourth Proportional to 339,676.62, 509,536.80 and 199,140

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Solution

The fourth proportional to 339,676.62, 509,536.80 and 199,140 is: 298,722.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,676.62 : 509,536.80 = 199,140 : x
  2. Step 2: Convert to fraction form
    339,676.62/509,536.80 = 199,140/x
  3. Step 3: Cross multiply
    339,676.62x = 509,536.80 × 199,140
  4. Step 4: Simplify right side
    339,676.62x = 101,469,158,352
  5. Step 5: Solve for x
    x = 101,469,158,352/339,676.62
  6. Step 6: Final answer
    x = 298,722.82

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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.