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Finding the Fourth Proportional to 431,625.78, 647,438.67 and 182,309.94

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Solution

The fourth proportional to 431,625.78, 647,438.67 and 182,309.94 is: 273,464.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,625.78 : 647,438.67 = 182,309.94 : x
  2. Step 2: Convert to fraction form
    431,625.78/647,438.67 = 182,309.94/x
  3. Step 3: Cross multiply
    431,625.78x = 647,438.67 × 182,309.94
  4. Step 4: Simplify right side
    431,625.78x = 118,034,505,081.38
  5. Step 5: Solve for x
    x = 118,034,505,081.38/431,625.78
  6. Step 6: Final answer
    x = 273,464.91

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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.