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Finding the Fourth Proportional to 351,677.28, 485,314.92 and 206,454.64

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Solution

The fourth proportional to 351,677.28, 485,314.92 and 206,454.64 is: 284,907.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,677.28 : 485,314.92 = 206,454.64 : x
  2. Step 2: Convert to fraction form
    351,677.28/485,314.92 = 206,454.64/x
  3. Step 3: Cross multiply
    351,677.28x = 485,314.92 × 206,454.64
  4. Step 4: Simplify right side
    351,677.28x = 100,195,517,095.23
  5. Step 5: Solve for x
    x = 100,195,517,095.23/351,677.28
  6. Step 6: Final answer
    x = 284,907.56

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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.