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Finding the Fourth Proportional to 378,743.42, 568,114.46 and 220,861.16

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Solution

The fourth proportional to 378,743.42, 568,114.46 and 220,861.16 is: 331,291.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,743.42 : 568,114.46 = 220,861.16 : x
  2. Step 2: Convert to fraction form
    378,743.42/568,114.46 = 220,861.16/x
  3. Step 3: Cross multiply
    378,743.42x = 568,114.46 × 220,861.16
  4. Step 4: Simplify right side
    378,743.42x = 125,474,418,648.37
  5. Step 5: Solve for x
    x = 125,474,418,648.37/378,743.42
  6. Step 6: Final answer
    x = 331,291.35

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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.