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Finding the Fourth Proportional to 361,388.64, 498,709.72 and 200,243.08

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Solution

The fourth proportional to 361,388.64, 498,709.72 and 200,243.08 is: 276,331.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,388.64 : 498,709.72 = 200,243.08 : x
  2. Step 2: Convert to fraction form
    361,388.64/498,709.72 = 200,243.08/x
  3. Step 3: Cross multiply
    361,388.64x = 498,709.72 × 200,243.08
  4. Step 4: Simplify right side
    361,388.64x = 99,863,170,358.74
  5. Step 5: Solve for x
    x = 99,863,170,358.74/361,388.64
  6. Step 6: Final answer
    x = 276,331.79

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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.