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Finding the Fourth Proportional to 270,638.40, 405,957.60 and 182,164.80

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Solution

The fourth proportional to 270,638.40, 405,957.60 and 182,164.80 is: 273,247.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,638.40 : 405,957.60 = 182,164.80 : x
  2. Step 2: Convert to fraction form
    270,638.40/405,957.60 = 182,164.80/x
  3. Step 3: Cross multiply
    270,638.40x = 405,957.60 × 182,164.80
  4. Step 4: Simplify right side
    270,638.40x = 73,951,185,012.48
  5. Step 5: Solve for x
    x = 73,951,185,012.48/270,638.40
  6. Step 6: Final answer
    x = 273,247.20

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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.