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Finding the Fourth Proportional to 431,968.08, 647,908.37 and 116,456.88

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Solution

The fourth proportional to 431,968.08, 647,908.37 and 116,456.88 is: 174,673.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,968.08 : 647,908.37 = 116,456.88 : x
  2. Step 2: Convert to fraction form
    431,968.08/647,908.37 = 116,456.88/x
  3. Step 3: Cross multiply
    431,968.08x = 647,908.37 × 116,456.88
  4. Step 4: Simplify right side
    431,968.08x = 75,453,386,713.80
  5. Step 5: Solve for x
    x = 75,453,386,713.80/431,968.08
  6. Step 6: Final answer
    x = 174,673.52

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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.