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Finding the Fourth Proportional to 431,694.48, 647,172.38 and 165,645.92

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Solution

The fourth proportional to 431,694.48, 647,172.38 and 165,645.92 is: 248,327.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,694.48 : 647,172.38 = 165,645.92 : x
  2. Step 2: Convert to fraction form
    431,694.48/647,172.38 = 165,645.92/x
  3. Step 3: Cross multiply
    431,694.48x = 647,172.38 × 165,645.92
  4. Step 4: Simplify right side
    431,694.48x = 107,201,464,283.69
  5. Step 5: Solve for x
    x = 107,201,464,283.69/431,694.48
  6. Step 6: Final answer
    x = 248,327.16

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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.