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Finding the Fourth Proportional to 270,474.60, 405,959.90 and 137,447.40

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Solution

The fourth proportional to 270,474.60, 405,959.90 and 137,447.40 is: 206,297.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,474.60 : 405,959.90 = 137,447.40 : x
  2. Step 2: Convert to fraction form
    270,474.60/405,959.90 = 137,447.40/x
  3. Step 3: Cross multiply
    270,474.60x = 405,959.90 × 137,447.40
  4. Step 4: Simplify right side
    270,474.60x = 55,798,132,759.26
  5. Step 5: Solve for x
    x = 55,798,132,759.26/270,474.60
  6. Step 6: Final answer
    x = 206,297.13

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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.