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Finding the Fourth Proportional to 408,662.38, 563,956.86 and 227,381.94

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Solution

The fourth proportional to 408,662.38, 563,956.86 and 227,381.94 is: 313,788.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,662.38 : 563,956.86 = 227,381.94 : x
  2. Step 2: Convert to fraction form
    408,662.38/563,956.86 = 227,381.94/x
  3. Step 3: Cross multiply
    408,662.38x = 563,956.86 × 227,381.94
  4. Step 4: Simplify right side
    408,662.38x = 128,233,604,903.11
  5. Step 5: Solve for x
    x = 128,233,604,903.11/408,662.38
  6. Step 6: Final answer
    x = 313,788.62

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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.