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Finding the Fourth Proportional to 408,940.56, 564,343.20 and 225,200.72

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Solution

The fourth proportional to 408,940.56, 564,343.20 and 225,200.72 is: 310,779.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,940.56 : 564,343.20 = 225,200.72 : x
  2. Step 2: Convert to fraction form
    408,940.56/564,343.20 = 225,200.72/x
  3. Step 3: Cross multiply
    408,940.56x = 564,343.20 × 225,200.72
  4. Step 4: Simplify right side
    408,940.56x = 127,090,494,967.10
  5. Step 5: Solve for x
    x = 127,090,494,967.10/408,940.56
  6. Step 6: Final answer
    x = 310,779.87

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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.