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Finding the Fourth Proportional to 309,562.78, 427,257.90 and 200,801.92

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Solution

The fourth proportional to 309,562.78, 427,257.90 and 200,801.92 is: 277,146.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,562.78 : 427,257.90 = 200,801.92 : x
  2. Step 2: Convert to fraction form
    309,562.78/427,257.90 = 200,801.92/x
  3. Step 3: Cross multiply
    309,562.78x = 427,257.90 × 200,801.92
  4. Step 4: Simplify right side
    309,562.78x = 85,794,206,655.17
  5. Step 5: Solve for x
    x = 85,794,206,655.17/309,562.78
  6. Step 6: Final answer
    x = 277,146.39

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1.5x scale

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.