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Finding the Fourth Proportional to 217,470.40, 327,080.40 and 194,725.60

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Solution

The fourth proportional to 217,470.40, 327,080.40 and 194,725.60 is: 292,871.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,470.40 : 327,080.40 = 194,725.60 : x
  2. Step 2: Convert to fraction form
    217,470.40/327,080.40 = 194,725.60/x
  3. Step 3: Cross multiply
    217,470.40x = 327,080.40 × 194,725.60
  4. Step 4: Simplify right side
    217,470.40x = 63,690,927,138.24
  5. Step 5: Solve for x
    x = 63,690,927,138.24/217,470.40
  6. Step 6: Final answer
    x = 292,871.71

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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.