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Finding the Fourth Proportional to 361,422.78, 498,766.37 and 200,280.52

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Solution

The fourth proportional to 361,422.78, 498,766.37 and 200,280.52 is: 276,388.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,422.78 : 498,766.37 = 200,280.52 : x
  2. Step 2: Convert to fraction form
    361,422.78/498,766.37 = 200,280.52/x
  3. Step 3: Cross multiply
    361,422.78x = 498,766.37 × 200,280.52
  4. Step 4: Simplify right side
    361,422.78x = 99,893,184,446.88
  5. Step 5: Solve for x
    x = 99,893,184,446.88/361,422.78
  6. Step 6: Final answer
    x = 276,388.74

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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.