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Finding the Fourth Proportional to 331,722.59, 457,759.90 and 188,462.75

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Solution

The fourth proportional to 331,722.59, 457,759.90 and 188,462.75 is: 260,068.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,722.59 : 457,759.90 = 188,462.75 : x
  2. Step 2: Convert to fraction form
    331,722.59/457,759.90 = 188,462.75/x
  3. Step 3: Cross multiply
    331,722.59x = 457,759.90 × 188,462.75
  4. Step 4: Simplify right side
    331,722.59x = 86,270,688,651.41
  5. Step 5: Solve for x
    x = 86,270,688,651.41/331,722.59
  6. Step 6: Final answer
    x = 260,068.78

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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.