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Finding the Fourth Proportional to 285,481.60, 428,198.10 and 116,953.81

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Solution

The fourth proportional to 285,481.60, 428,198.10 and 116,953.81 is: 175,420.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,481.60 : 428,198.10 = 116,953.81 : x
  2. Step 2: Convert to fraction form
    285,481.60/428,198.10 = 116,953.81/x
  3. Step 3: Cross multiply
    285,481.60x = 428,198.10 × 116,953.81
  4. Step 4: Simplify right side
    285,481.60x = 50,079,397,720.69
  5. Step 5: Solve for x
    x = 50,079,397,720.69/285,481.60
  6. Step 6: Final answer
    x = 175,420.76

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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.