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Finding the Fourth Proportional to 339,969.30, 508,917.15 and 199,310.10

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Solution

The fourth proportional to 339,969.30, 508,917.15 and 199,310.10 is: 298,357.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,969.30 : 508,917.15 = 199,310.10 : x
  2. Step 2: Convert to fraction form
    339,969.30/508,917.15 = 199,310.10/x
  3. Step 3: Cross multiply
    339,969.30x = 508,917.15 × 199,310.10
  4. Step 4: Simplify right side
    339,969.30x = 101,432,328,058.22
  5. Step 5: Solve for x
    x = 101,432,328,058.22/339,969.30
  6. Step 6: Final answer
    x = 298,357.32

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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.