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Finding the Fourth Proportional to 270,494.80, 405,742.20 and 252,869.20

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Solution

The fourth proportional to 270,494.80, 405,742.20 and 252,869.20 is: 379,303.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,494.80 : 405,742.20 = 252,869.20 : x
  2. Step 2: Convert to fraction form
    270,494.80/405,742.20 = 252,869.20/x
  3. Step 3: Cross multiply
    270,494.80x = 405,742.20 × 252,869.20
  4. Step 4: Simplify right side
    270,494.80x = 102,599,705,520.24
  5. Step 5: Solve for x
    x = 102,599,705,520.24/270,494.80
  6. Step 6: Final answer
    x = 379,303.80

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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.