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Finding the Fourth Proportional to 318,974.60, 440,105.46 and 205,661

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Solution

The fourth proportional to 318,974.60, 440,105.46 and 205,661 is: 283,760.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,974.60 : 440,105.46 = 205,661 : x
  2. Step 2: Convert to fraction form
    318,974.60/440,105.46 = 205,661/x
  3. Step 3: Cross multiply
    318,974.60x = 440,105.46 × 205,661
  4. Step 4: Simplify right side
    318,974.60x = 90,512,529,009.06
  5. Step 5: Solve for x
    x = 90,512,529,009.06/318,974.60
  6. Step 6: Final answer
    x = 283,760.93

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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.