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Finding the Fourth Proportional to 269,309.89, 403,975.05 and 100,812.48

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Solution

The fourth proportional to 269,309.89, 403,975.05 and 100,812.48 is: 151,222.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,309.89 : 403,975.05 = 100,812.48 : x
  2. Step 2: Convert to fraction form
    269,309.89/403,975.05 = 100,812.48/x
  3. Step 3: Cross multiply
    269,309.89x = 403,975.05 × 100,812.48
  4. Step 4: Simplify right side
    269,309.89x = 40,725,726,648.62
  5. Step 5: Solve for x
    x = 40,725,726,648.62/269,309.89
  6. Step 6: Final answer
    x = 151,222.54

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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.