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Finding the Fourth Proportional to 422,589.92, 633,880.08 and 102,743.60

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Solution

The fourth proportional to 422,589.92, 633,880.08 and 102,743.60 is: 154,114.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,589.92 : 633,880.08 = 102,743.60 : x
  2. Step 2: Convert to fraction form
    422,589.92/633,880.08 = 102,743.60/x
  3. Step 3: Cross multiply
    422,589.92x = 633,880.08 × 102,743.60
  4. Step 4: Simplify right side
    422,589.92x = 65,127,121,387.49
  5. Step 5: Solve for x
    x = 65,127,121,387.49/422,589.92
  6. Step 6: Final answer
    x = 154,114.23

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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.