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Finding the Fourth Proportional to 349,578, 482,418.18 and 198,675

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Solution

The fourth proportional to 349,578, 482,418.18 and 198,675 is: 274,171.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,578 : 482,418.18 = 198,675 : x
  2. Step 2: Convert to fraction form
    349,578/482,418.18 = 198,675/x
  3. Step 3: Cross multiply
    349,578x = 482,418.18 × 198,675
  4. Step 4: Simplify right side
    349,578x = 95,844,431,911.50
  5. Step 5: Solve for x
    x = 95,844,431,911.50/349,578
  6. Step 6: Final answer
    x = 274,171.81

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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.