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Finding the Fourth Proportional to 408,758.85, 564,090.96 and 227,478.42

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Solution

The fourth proportional to 408,758.85, 564,090.96 and 227,478.42 is: 313,922.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,758.85 : 564,090.96 = 227,478.42 : x
  2. Step 2: Convert to fraction form
    408,758.85/564,090.96 = 227,478.42/x
  3. Step 3: Cross multiply
    408,758.85x = 564,090.96 × 227,478.42
  4. Step 4: Simplify right side
    408,758.85x = 128,318,520,317.08
  5. Step 5: Solve for x
    x = 128,318,520,317.08/408,758.85
  6. Step 6: Final answer
    x = 313,922.30

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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.