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Finding the Fourth Proportional to 408,504.64, 563,728.30 and 227,212.67

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Solution

The fourth proportional to 408,504.64, 563,728.30 and 227,212.67 is: 313,548.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,504.64 : 563,728.30 = 227,212.67 : x
  2. Step 2: Convert to fraction form
    408,504.64/563,728.30 = 227,212.67/x
  3. Step 3: Cross multiply
    408,504.64x = 563,728.30 × 227,212.67
  4. Step 4: Simplify right side
    408,504.64x = 128,086,208,810.89
  5. Step 5: Solve for x
    x = 128,086,208,810.89/408,504.64
  6. Step 6: Final answer
    x = 313,548.97

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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.