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Finding the Fourth Proportional to 361,416.60, 498,789.90 and 200,323.80

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Solution

The fourth proportional to 361,416.60, 498,789.90 and 200,323.80 is: 276,466.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,416.60 : 498,789.90 = 200,323.80 : x
  2. Step 2: Convert to fraction form
    361,416.60/498,789.90 = 200,323.80/x
  3. Step 3: Cross multiply
    361,416.60x = 498,789.90 × 200,323.80
  4. Step 4: Simplify right side
    361,416.60x = 99,919,488,169.62
  5. Step 5: Solve for x
    x = 99,919,488,169.62/361,416.60
  6. Step 6: Final answer
    x = 276,466.24

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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.