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Finding the Fourth Proportional to 436,180.97, 654,270.71 and 136,684.55

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Solution

The fourth proportional to 436,180.97, 654,270.71 and 136,684.55 is: 205,026.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,180.97 : 654,270.71 = 136,684.55 : x
  2. Step 2: Convert to fraction form
    436,180.97/654,270.71 = 136,684.55/x
  3. Step 3: Cross multiply
    436,180.97x = 654,270.71 × 136,684.55
  4. Step 4: Simplify right side
    436,180.97x = 89,428,693,619.75
  5. Step 5: Solve for x
    x = 89,428,693,619.75/436,180.97
  6. Step 6: Final answer
    x = 205,026.58

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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.