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Finding the Fourth Proportional to 409,458.56, 564,794.24 and 281,912.64

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Solution

The fourth proportional to 409,458.56, 564,794.24 and 281,912.64 is: 388,861.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,458.56 : 564,794.24 = 281,912.64 : x
  2. Step 2: Convert to fraction form
    409,458.56/564,794.24 = 281,912.64/x
  3. Step 3: Cross multiply
    409,458.56x = 564,794.24 × 281,912.64
  4. Step 4: Simplify right side
    409,458.56x = 159,222,635,255.19
  5. Step 5: Solve for x
    x = 159,222,635,255.19/409,458.56
  6. Step 6: Final answer
    x = 388,861.42

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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.