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Finding the Fourth Proportional to 427,508.82, 641,336.40 and 202,758.12

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Solution

The fourth proportional to 427,508.82, 641,336.40 and 202,758.12 is: 304,171.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,508.82 : 641,336.40 = 202,758.12 : x
  2. Step 2: Convert to fraction form
    427,508.82/641,336.40 = 202,758.12/x
  3. Step 3: Cross multiply
    427,508.82x = 641,336.40 × 202,758.12
  4. Step 4: Simplify right side
    427,508.82x = 130,036,162,751.57
  5. Step 5: Solve for x
    x = 130,036,162,751.57/427,508.82
  6. Step 6: Final answer
    x = 304,171.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.