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Finding the Fourth Proportional to 254,151.28, 380,979.05 and 120,995.78

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Solution

The fourth proportional to 254,151.28, 380,979.05 and 120,995.78 is: 181,375.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,151.28 : 380,979.05 = 120,995.78 : x
  2. Step 2: Convert to fraction form
    254,151.28/380,979.05 = 120,995.78/x
  3. Step 3: Cross multiply
    254,151.28x = 380,979.05 × 120,995.78
  4. Step 4: Simplify right side
    254,151.28x = 46,096,857,632.14
  5. Step 5: Solve for x
    x = 46,096,857,632.14/254,151.28
  6. Step 6: Final answer
    x = 181,375.67

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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.