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Finding the Fourth Proportional to 217,086.40, 325,629.60 and 200,497.60

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Solution

The fourth proportional to 217,086.40, 325,629.60 and 200,497.60 is: 300,746.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,086.40 : 325,629.60 = 200,497.60 : x
  2. Step 2: Convert to fraction form
    217,086.40/325,629.60 = 200,497.60/x
  3. Step 3: Cross multiply
    217,086.40x = 325,629.60 × 200,497.60
  4. Step 4: Simplify right side
    217,086.40x = 65,287,953,288.96
  5. Step 5: Solve for x
    x = 65,287,953,288.96/217,086.40
  6. Step 6: Final answer
    x = 300,746.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.