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Finding the Fourth Proportional to 339,295.72, 508,961.12 and 86,578.44

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Solution

The fourth proportional to 339,295.72, 508,961.12 and 86,578.44 is: 129,872.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,295.72 : 508,961.12 = 86,578.44 : x
  2. Step 2: Convert to fraction form
    339,295.72/508,961.12 = 86,578.44/x
  3. Step 3: Cross multiply
    339,295.72x = 508,961.12 × 86,578.44
  4. Step 4: Simplify right side
    339,295.72x = 44,065,059,790.25
  5. Step 5: Solve for x
    x = 44,065,059,790.25/339,295.72
  6. Step 6: Final answer
    x = 129,872.14

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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.