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Finding the Fourth Proportional to 408,504.51, 563,728.12 and 227,212.54

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Solution

The fourth proportional to 408,504.51, 563,728.12 and 227,212.54 is: 313,548.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,504.51 : 563,728.12 = 227,212.54 : x
  2. Step 2: Convert to fraction form
    408,504.51/563,728.12 = 227,212.54/x
  3. Step 3: Cross multiply
    408,504.51x = 563,728.12 × 227,212.54
  4. Step 4: Simplify right side
    408,504.51x = 128,086,098,014.63
  5. Step 5: Solve for x
    x = 128,086,098,014.63/408,504.51
  6. Step 6: Final answer
    x = 313,548.80

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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.