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Finding the Fourth Proportional to 263,181.76, 363,225.44 and 149,978.56

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Solution

The fourth proportional to 263,181.76, 363,225.44 and 149,978.56 is: 206,990.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,181.76 : 363,225.44 = 149,978.56 : x
  2. Step 2: Convert to fraction form
    263,181.76/363,225.44 = 149,978.56/x
  3. Step 3: Cross multiply
    263,181.76x = 363,225.44 × 149,978.56
  4. Step 4: Simplify right side
    263,181.76x = 54,476,028,446.57
  5. Step 5: Solve for x
    x = 54,476,028,446.57/263,181.76
  6. Step 6: Final answer
    x = 206,990.14

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1.5x scale

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.