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Finding the Fourth Proportional to 279,953.28, 419,806.37 and 80,228.34

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Solution

The fourth proportional to 279,953.28, 419,806.37 and 80,228.34 is: 120,307.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,953.28 : 419,806.37 = 80,228.34 : x
  2. Step 2: Convert to fraction form
    279,953.28/419,806.37 = 80,228.34/x
  3. Step 3: Cross multiply
    279,953.28x = 419,806.37 × 80,228.34
  4. Step 4: Simplify right side
    279,953.28x = 33,680,367,785.38
  5. Step 5: Solve for x
    x = 33,680,367,785.38/279,953.28
  6. Step 6: Final answer
    x = 120,307.10

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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.