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Finding the Fourth Proportional to 331,810, 457,909.32 and 188,576.08

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Solution

The fourth proportional to 331,810, 457,909.32 and 188,576.08 is: 260,241.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,810 : 457,909.32 = 188,576.08 : x
  2. Step 2: Convert to fraction form
    331,810/457,909.32 = 188,576.08/x
  3. Step 3: Cross multiply
    331,810x = 457,909.32 × 188,576.08
  4. Step 4: Simplify right side
    331,810x = 86,350,744,561.07
  5. Step 5: Solve for x
    x = 86,350,744,561.07/331,810
  6. Step 6: Final answer
    x = 260,241.54

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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.