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Finding the Fourth Proportional to 381,198, 525,708.84 and 237,971.28

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Solution

The fourth proportional to 381,198, 525,708.84 and 237,971.28 is: 328,185.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,198 : 525,708.84 = 237,971.28 : x
  2. Step 2: Convert to fraction form
    381,198/525,708.84 = 237,971.28/x
  3. Step 3: Cross multiply
    381,198x = 525,708.84 × 237,971.28
  4. Step 4: Simplify right side
    381,198x = 125,103,605,562.12
  5. Step 5: Solve for x
    x = 125,103,605,562.12/381,198
  6. Step 6: Final answer
    x = 328,185.37

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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.