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Finding the Fourth Proportional to 351,028.86, 484,265.92 and 205,761

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Solution

The fourth proportional to 351,028.86, 484,265.92 and 205,761 is: 283,859.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,028.86 : 484,265.92 = 205,761 : x
  2. Step 2: Convert to fraction form
    351,028.86/484,265.92 = 205,761/x
  3. Step 3: Cross multiply
    351,028.86x = 484,265.92 × 205,761
  4. Step 4: Simplify right side
    351,028.86x = 99,643,039,965.12
  5. Step 5: Solve for x
    x = 99,643,039,965.12/351,028.86
  6. Step 6: Final answer
    x = 283,859.97

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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.