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Finding the Fourth Proportional to 635,211.82, 952,812.12 and 280,226.14

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Solution

The fourth proportional to 635,211.82, 952,812.12 and 280,226.14 is: 420,336.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,211.82 : 952,812.12 = 280,226.14 : x
  2. Step 2: Convert to fraction form
    635,211.82/952,812.12 = 280,226.14/x
  3. Step 3: Cross multiply
    635,211.82x = 952,812.12 × 280,226.14
  4. Step 4: Simplify right side
    635,211.82x = 267,002,862,532.82
  5. Step 5: Solve for x
    x = 267,002,862,532.82/635,211.82
  6. Step 6: Final answer
    x = 420,336.74

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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.