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Finding the Fourth Proportional to 331,661, 457,704.54 and 188,445.30

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Solution

The fourth proportional to 331,661, 457,704.54 and 188,445.30 is: 260,061.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,661 : 457,704.54 = 188,445.30 : x
  2. Step 2: Convert to fraction form
    331,661/457,704.54 = 188,445.30/x
  3. Step 3: Cross multiply
    331,661x = 457,704.54 × 188,445.30
  4. Step 4: Simplify right side
    331,661x = 86,252,269,351.66
  5. Step 5: Solve for x
    x = 86,252,269,351.66/331,661
  6. Step 6: Final answer
    x = 260,061.54

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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.