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Finding the Fourth Proportional to 339,841.50, 509,062.32 and 199,261.14

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Solution

The fourth proportional to 339,841.50, 509,062.32 and 199,261.14 is: 298,481.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,841.50 : 509,062.32 = 199,261.14 : x
  2. Step 2: Convert to fraction form
    339,841.50/509,062.32 = 199,261.14/x
  3. Step 3: Cross multiply
    339,841.50x = 509,062.32 × 199,261.14
  4. Step 4: Simplify right side
    339,841.50x = 101,436,338,214.25
  5. Step 5: Solve for x
    x = 101,436,338,214.25/339,841.50
  6. Step 6: Final answer
    x = 298,481.32

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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.