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Finding the Fourth Proportional to 356,293.72, 491,694.87 and 201,232.57

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Solution

The fourth proportional to 356,293.72, 491,694.87 and 201,232.57 is: 277,706.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,293.72 : 491,694.87 = 201,232.57 : x
  2. Step 2: Convert to fraction form
    356,293.72/491,694.87 = 201,232.57/x
  3. Step 3: Cross multiply
    356,293.72x = 491,694.87 × 201,232.57
  4. Step 4: Simplify right side
    356,293.72x = 98,945,022,345.92
  5. Step 5: Solve for x
    x = 98,945,022,345.92/356,293.72
  6. Step 6: Final answer
    x = 277,706.33

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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.