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Finding the Fourth Proportional to 253,765, 380,633.10 and 76,268.44

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Solution

The fourth proportional to 253,765, 380,633.10 and 76,268.44 is: 114,398.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,765 : 380,633.10 = 76,268.44 : x
  2. Step 2: Convert to fraction form
    253,765/380,633.10 = 76,268.44/x
  3. Step 3: Cross multiply
    253,765x = 380,633.10 × 76,268.44
  4. Step 4: Simplify right side
    253,765x = 29,030,292,749.36
  5. Step 5: Solve for x
    x = 29,030,292,749.36/253,765
  6. Step 6: Final answer
    x = 114,398.33

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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.