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Finding the Fourth Proportional to 260,471.92, 390,630.12 and 110,711.56

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Solution

The fourth proportional to 260,471.92, 390,630.12 and 110,711.56 is: 166,034.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,471.92 : 390,630.12 = 110,711.56 : x
  2. Step 2: Convert to fraction form
    260,471.92/390,630.12 = 110,711.56/x
  3. Step 3: Cross multiply
    260,471.92x = 390,630.12 × 110,711.56
  4. Step 4: Simplify right side
    260,471.92x = 43,247,269,968.19
  5. Step 5: Solve for x
    x = 43,247,269,968.19/260,471.92
  6. Step 6: Final answer
    x = 166,034.29

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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.