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Finding the Fourth Proportional to 272,593.75, 408,974.34 and 139,567.41

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Solution

The fourth proportional to 272,593.75, 408,974.34 and 139,567.41 is: 209,393.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,593.75 : 408,974.34 = 139,567.41 : x
  2. Step 2: Convert to fraction form
    272,593.75/408,974.34 = 139,567.41/x
  3. Step 3: Cross multiply
    272,593.75x = 408,974.34 × 139,567.41
  4. Step 4: Simplify right side
    272,593.75x = 57,079,488,367.82
  5. Step 5: Solve for x
    x = 57,079,488,367.82/272,593.75
  6. Step 6: Final answer
    x = 209,393.97

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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.