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Finding the Fourth Proportional to 431,991.73, 647,462.03 and 305,668.33

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Solution

The fourth proportional to 431,991.73, 647,462.03 and 305,668.33 is: 458,130.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,991.73 : 647,462.03 = 305,668.33 : x
  2. Step 2: Convert to fraction form
    431,991.73/647,462.03 = 305,668.33/x
  3. Step 3: Cross multiply
    431,991.73x = 647,462.03 × 305,668.33
  4. Step 4: Simplify right side
    431,991.73x = 197,908,640,522.56
  5. Step 5: Solve for x
    x = 197,908,640,522.56/431,991.73
  6. Step 6: Final answer
    x = 458,130.62

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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.