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Finding the Fourth Proportional to 270,473.60, 405,958.40 and 137,446.40

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Solution

The fourth proportional to 270,473.60, 405,958.40 and 137,446.40 is: 206,295.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,473.60 : 405,958.40 = 137,446.40 : x
  2. Step 2: Convert to fraction form
    270,473.60/405,958.40 = 137,446.40/x
  3. Step 3: Cross multiply
    270,473.60x = 405,958.40 × 137,446.40
  4. Step 4: Simplify right side
    270,473.60x = 55,797,520,629.76
  5. Step 5: Solve for x
    x = 55,797,520,629.76/270,473.60
  6. Step 6: Final answer
    x = 206,295.63

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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.