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Finding the Fourth Proportional to 436,309.72, 654,464.50 and 136,791.84

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Solution

The fourth proportional to 436,309.72, 654,464.50 and 136,791.84 is: 205,187.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,309.72 : 654,464.50 = 136,791.84 : x
  2. Step 2: Convert to fraction form
    436,309.72/654,464.50 = 136,791.84/x
  3. Step 3: Cross multiply
    436,309.72x = 654,464.50 × 136,791.84
  4. Step 4: Simplify right side
    436,309.72x = 89,525,403,169.68
  5. Step 5: Solve for x
    x = 89,525,403,169.68/436,309.72
  6. Step 6: Final answer
    x = 205,187.73

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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.