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Finding the Fourth Proportional to 355,121.28, 490,081.92 and 204,218.28

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Solution

The fourth proportional to 355,121.28, 490,081.92 and 204,218.28 is: 281,829.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,121.28 : 490,081.92 = 204,218.28 : x
  2. Step 2: Convert to fraction form
    355,121.28/490,081.92 = 204,218.28/x
  3. Step 3: Cross multiply
    355,121.28x = 490,081.92 × 204,218.28
  4. Step 4: Simplify right side
    355,121.28x = 100,083,686,761.50
  5. Step 5: Solve for x
    x = 100,083,686,761.50/355,121.28
  6. Step 6: Final answer
    x = 281,829.60

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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.