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Finding the Fourth Proportional to 431,231.80, 646,847.70 and 195,035.80

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Solution

The fourth proportional to 431,231.80, 646,847.70 and 195,035.80 is: 292,553.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,231.80 : 646,847.70 = 195,035.80 : x
  2. Step 2: Convert to fraction form
    431,231.80/646,847.70 = 195,035.80/x
  3. Step 3: Cross multiply
    431,231.80x = 646,847.70 × 195,035.80
  4. Step 4: Simplify right side
    431,231.80x = 126,158,458,647.66
  5. Step 5: Solve for x
    x = 126,158,458,647.66/431,231.80
  6. Step 6: Final answer
    x = 292,553.70

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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.