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Finding the Fourth Proportional to 431,856.82, 647,711.79 and 116,243.38

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Solution

The fourth proportional to 431,856.82, 647,711.79 and 116,243.38 is: 174,345.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,856.82 : 647,711.79 = 116,243.38 : x
  2. Step 2: Convert to fraction form
    431,856.82/647,711.79 = 116,243.38/x
  3. Step 3: Cross multiply
    431,856.82x = 647,711.79 × 116,243.38
  4. Step 4: Simplify right side
    431,856.82x = 75,292,207,735.45
  5. Step 5: Solve for x
    x = 75,292,207,735.45/431,856.82
  6. Step 6: Final answer
    x = 174,345.30

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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.