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Finding the Fourth Proportional to 361,357.82, 498,667.32 and 200,209.64

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Solution

The fourth proportional to 361,357.82, 498,667.32 and 200,209.64 is: 276,285.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,357.82 : 498,667.32 = 200,209.64 : x
  2. Step 2: Convert to fraction form
    361,357.82/498,667.32 = 200,209.64/x
  3. Step 3: Cross multiply
    361,357.82x = 498,667.32 × 200,209.64
  4. Step 4: Simplify right side
    361,357.82x = 99,838,004,616.96
  5. Step 5: Solve for x
    x = 99,838,004,616.96/361,357.82
  6. Step 6: Final answer
    x = 276,285.72

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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.