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Finding the Fourth Proportional to 270,247, 405,367.26 and 253,805.68

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Solution

The fourth proportional to 270,247, 405,367.26 and 253,805.68 is: 380,705.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,247 : 405,367.26 = 253,805.68 : x
  2. Step 2: Convert to fraction form
    270,247/405,367.26 = 253,805.68/x
  3. Step 3: Cross multiply
    270,247x = 405,367.26 × 253,805.68
  4. Step 4: Simplify right side
    270,247x = 102,884,513,074.04
  5. Step 5: Solve for x
    x = 102,884,513,074.04/270,247
  6. Step 6: Final answer
    x = 380,705.48

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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.