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Finding the Fourth Proportional to 415,584.25, 623,411.70 and 131,198.71

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Solution

The fourth proportional to 415,584.25, 623,411.70 and 131,198.71 is: 196,809.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,584.25 : 623,411.70 = 131,198.71 : x
  2. Step 2: Convert to fraction form
    415,584.25/623,411.70 = 131,198.71/x
  3. Step 3: Cross multiply
    415,584.25x = 623,411.70 × 131,198.71
  4. Step 4: Simplify right side
    415,584.25x = 81,790,810,838.91
  5. Step 5: Solve for x
    x = 81,790,810,838.91/415,584.25
  6. Step 6: Final answer
    x = 196,809.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.