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Finding the Fourth Proportional to 275,405.36, 412,581.30 and 186,221.12

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Solution

The fourth proportional to 275,405.36, 412,581.30 and 186,221.12 is: 278,975.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,405.36 : 412,581.30 = 186,221.12 : x
  2. Step 2: Convert to fraction form
    275,405.36/412,581.30 = 186,221.12/x
  3. Step 3: Cross multiply
    275,405.36x = 412,581.30 × 186,221.12
  4. Step 4: Simplify right side
    275,405.36x = 76,831,351,777.06
  5. Step 5: Solve for x
    x = 76,831,351,777.06/275,405.36
  6. Step 6: Final answer
    x = 278,975.51

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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.