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Finding the Fourth Proportional to 379,131.68, 523,201.92 and 207,052

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Solution

The fourth proportional to 379,131.68, 523,201.92 and 207,052 is: 285,731.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,131.68 : 523,201.92 = 207,052 : x
  2. Step 2: Convert to fraction form
    379,131.68/523,201.92 = 207,052/x
  3. Step 3: Cross multiply
    379,131.68x = 523,201.92 × 207,052
  4. Step 4: Simplify right side
    379,131.68x = 108,330,003,939.84
  5. Step 5: Solve for x
    x = 108,330,003,939.84/379,131.68
  6. Step 6: Final answer
    x = 285,731.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.