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Finding the Fourth Proportional to 273,238.40, 409,420.20 and 179,634.80

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Solution

The fourth proportional to 273,238.40, 409,420.20 and 179,634.80 is: 269,164.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,238.40 : 409,420.20 = 179,634.80 : x
  2. Step 2: Convert to fraction form
    273,238.40/409,420.20 = 179,634.80/x
  3. Step 3: Cross multiply
    273,238.40x = 409,420.20 × 179,634.80
  4. Step 4: Simplify right side
    273,238.40x = 73,546,115,742.96
  5. Step 5: Solve for x
    x = 73,546,115,742.96/273,238.40
  6. Step 6: Final answer
    x = 269,164.64

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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.