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Finding the Fourth Proportional to 279,833.22, 419,749.80 and 69,471.15

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Solution

The fourth proportional to 279,833.22, 419,749.80 and 69,471.15 is: 104,206.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,833.22 : 419,749.80 = 69,471.15 : x
  2. Step 2: Convert to fraction form
    279,833.22/419,749.80 = 69,471.15/x
  3. Step 3: Cross multiply
    279,833.22x = 419,749.80 × 69,471.15
  4. Step 4: Simplify right side
    279,833.22x = 29,160,501,318.27
  5. Step 5: Solve for x
    x = 29,160,501,318.27/279,833.22
  6. Step 6: Final answer
    x = 104,206.72

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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.