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Finding the Fourth Proportional to 361,431, 498,785.72 and 200,270.97

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Solution

The fourth proportional to 361,431, 498,785.72 and 200,270.97 is: 276,380.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,431 : 498,785.72 = 200,270.97 : x
  2. Step 2: Convert to fraction form
    361,431/498,785.72 = 200,270.97/x
  3. Step 3: Cross multiply
    361,431x = 498,785.72 × 200,270.97
  4. Step 4: Simplify right side
    361,431x = 99,892,298,965.19
  5. Step 5: Solve for x
    x = 99,892,298,965.19/361,431
  6. Step 6: Final answer
    x = 276,380.00

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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.