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Finding the Fourth Proportional to 431,350.90, 646,540.35 and 206,818.90

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Solution

The fourth proportional to 431,350.90, 646,540.35 and 206,818.90 is: 309,995.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,350.90 : 646,540.35 = 206,818.90 : x
  2. Step 2: Convert to fraction form
    431,350.90/646,540.35 = 206,818.90/x
  3. Step 3: Cross multiply
    431,350.90x = 646,540.35 × 206,818.90
  4. Step 4: Simplify right side
    431,350.90x = 133,716,763,992.62
  5. Step 5: Solve for x
    x = 133,716,763,992.62/431,350.90
  6. Step 6: Final answer
    x = 309,995.33

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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.