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Finding the Fourth Proportional to 361,478.28, 498,843.70 and 200,336.88

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Solution

The fourth proportional to 361,478.28, 498,843.70 and 200,336.88 is: 276,466.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,478.28 : 498,843.70 = 200,336.88 : x
  2. Step 2: Convert to fraction form
    361,478.28/498,843.70 = 200,336.88/x
  3. Step 3: Cross multiply
    361,478.28x = 498,843.70 × 200,336.88
  4. Step 4: Simplify right side
    361,478.28x = 99,936,790,465.66
  5. Step 5: Solve for x
    x = 99,936,790,465.66/361,478.28
  6. Step 6: Final answer
    x = 276,466.93

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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.