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Finding the Fourth Proportional to 408,861.40, 564,161.34 and 227,568.64

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Solution

The fourth proportional to 408,861.40, 564,161.34 and 227,568.64 is: 314,007.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,861.40 : 564,161.34 = 227,568.64 : x
  2. Step 2: Convert to fraction form
    408,861.40/564,161.34 = 227,568.64/x
  3. Step 3: Cross multiply
    408,861.40x = 564,161.34 × 227,568.64
  4. Step 4: Simplify right side
    408,861.40x = 128,385,428,884.38
  5. Step 5: Solve for x
    x = 128,385,428,884.38/408,861.40
  6. Step 6: Final answer
    x = 314,007.21

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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.