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Finding the Fourth Proportional to 431,324.80, 646,833.60 and 194,780.80

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Solution

The fourth proportional to 431,324.80, 646,833.60 and 194,780.80 is: 292,101.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,324.80 : 646,833.60 = 194,780.80 : x
  2. Step 2: Convert to fraction form
    431,324.80/646,833.60 = 194,780.80/x
  3. Step 3: Cross multiply
    431,324.80x = 646,833.60 × 194,780.80
  4. Step 4: Simplify right side
    431,324.80x = 125,990,766,074.88
  5. Step 5: Solve for x
    x = 125,990,766,074.88/431,324.80
  6. Step 6: Final answer
    x = 292,101.84

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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.