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Finding the Fourth Proportional to 431,096.60, 646,246.38 and 220,269.80

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Solution

The fourth proportional to 431,096.60, 646,246.38 and 220,269.80 is: 330,201.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,096.60 : 646,246.38 = 220,269.80 : x
  2. Step 2: Convert to fraction form
    431,096.60/646,246.38 = 220,269.80/x
  3. Step 3: Cross multiply
    431,096.60x = 646,246.38 × 220,269.80
  4. Step 4: Simplify right side
    431,096.60x = 142,348,560,873.32
  5. Step 5: Solve for x
    x = 142,348,560,873.32/431,096.60
  6. Step 6: Final answer
    x = 330,201.08

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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.