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Finding the Fourth Proportional to 361,422.84, 498,766.45 and 200,280.58

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Solution

The fourth proportional to 361,422.84, 498,766.45 and 200,280.58 is: 276,388.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,422.84 : 498,766.45 = 200,280.58 : x
  2. Step 2: Convert to fraction form
    361,422.84/498,766.45 = 200,280.58/x
  3. Step 3: Cross multiply
    361,422.84x = 498,766.45 × 200,280.58
  4. Step 4: Simplify right side
    361,422.84x = 99,893,234,764.35
  5. Step 5: Solve for x
    x = 99,893,234,764.35/361,422.84
  6. Step 6: Final answer
    x = 276,388.83

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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.