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Finding the Fourth Proportional to 270,235, 405,349.26 and 253,793.68

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Solution

The fourth proportional to 270,235, 405,349.26 and 253,793.68 is: 380,687.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,235 : 405,349.26 = 253,793.68 : x
  2. Step 2: Convert to fraction form
    270,235/405,349.26 = 253,793.68/x
  3. Step 3: Cross multiply
    270,235x = 405,349.26 × 253,793.68
  4. Step 4: Simplify right side
    270,235x = 102,875,080,380.68
  5. Step 5: Solve for x
    x = 102,875,080,380.68/270,235
  6. Step 6: Final answer
    x = 380,687.48

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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.