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Finding the Fourth Proportional to 408,505.01, 563,728.82 and 227,213.04

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Solution

The fourth proportional to 408,505.01, 563,728.82 and 227,213.04 is: 313,549.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,505.01 : 563,728.82 = 227,213.04 : x
  2. Step 2: Convert to fraction form
    408,505.01/563,728.82 = 227,213.04/x
  3. Step 3: Cross multiply
    408,505.01x = 563,728.82 × 227,213.04
  4. Step 4: Simplify right side
    408,505.01x = 128,086,537,791.75
  5. Step 5: Solve for x
    x = 128,086,537,791.75/408,505.01
  6. Step 6: Final answer
    x = 313,549.49

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1.5x scale

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.