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Finding the Fourth Proportional to 329,086.12, 454,147.16 and 201,831.88

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Solution

The fourth proportional to 329,086.12, 454,147.16 and 201,831.88 is: 278,533.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,086.12 : 454,147.16 = 201,831.88 : x
  2. Step 2: Convert to fraction form
    329,086.12/454,147.16 = 201,831.88/x
  3. Step 3: Cross multiply
    329,086.12x = 454,147.16 × 201,831.88
  4. Step 4: Simplify right side
    329,086.12x = 91,661,375,099.46
  5. Step 5: Solve for x
    x = 91,661,375,099.46/329,086.12
  6. Step 6: Final answer
    x = 278,533.09

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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.