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Finding the Fourth Proportional to 331,651.48, 457,680.60 and 188,419.40

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Solution

The fourth proportional to 331,651.48, 457,680.60 and 188,419.40 is: 260,019.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,651.48 : 457,680.60 = 188,419.40 : x
  2. Step 2: Convert to fraction form
    331,651.48/457,680.60 = 188,419.40/x
  3. Step 3: Cross multiply
    331,651.48x = 457,680.60 × 188,419.40
  4. Step 4: Simplify right side
    331,651.48x = 86,235,904,043.64
  5. Step 5: Solve for x
    x = 86,235,904,043.64/331,651.48
  6. Step 6: Final answer
    x = 260,019.66

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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.