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Finding the Fourth Proportional to 381,131.38, 525,943.29 and 211,361.86

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Solution

The fourth proportional to 381,131.38, 525,943.29 and 211,361.86 is: 291,669.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,131.38 : 525,943.29 = 211,361.86 : x
  2. Step 2: Convert to fraction form
    381,131.38/525,943.29 = 211,361.86/x
  3. Step 3: Cross multiply
    381,131.38x = 525,943.29 × 211,361.86
  4. Step 4: Simplify right side
    381,131.38x = 111,164,352,028.92
  5. Step 5: Solve for x
    x = 111,164,352,028.92/381,131.38
  6. Step 6: Final answer
    x = 291,669.38

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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.