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Finding the Fourth Proportional to 309,247.70, 463,921.97 and 109,524.78

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Solution

The fourth proportional to 309,247.70, 463,921.97 and 109,524.78 is: 164,305.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,247.70 : 463,921.97 = 109,524.78 : x
  2. Step 2: Convert to fraction form
    309,247.70/463,921.97 = 109,524.78/x
  3. Step 3: Cross multiply
    309,247.70x = 463,921.97 × 109,524.78
  4. Step 4: Simplify right side
    309,247.70x = 50,810,951,153.79
  5. Step 5: Solve for x
    x = 50,810,951,153.79/309,247.70
  6. Step 6: Final answer
    x = 164,305.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.