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Finding the Fourth Proportional to 275,674.56, 380,407.68 and 166,819.68

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Solution

The fourth proportional to 275,674.56, 380,407.68 and 166,819.68 is: 230,197.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,674.56 : 380,407.68 = 166,819.68 : x
  2. Step 2: Convert to fraction form
    275,674.56/380,407.68 = 166,819.68/x
  3. Step 3: Cross multiply
    275,674.56x = 380,407.68 × 166,819.68
  4. Step 4: Simplify right side
    275,674.56x = 63,459,487,447.14
  5. Step 5: Solve for x
    x = 63,459,487,447.14/275,674.56
  6. Step 6: Final answer
    x = 230,197.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.