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Finding the Fourth Proportional to 378,741.42, 568,111.46 and 220,859.16

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Solution

The fourth proportional to 378,741.42, 568,111.46 and 220,859.16 is: 331,288.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,741.42 : 568,111.46 = 220,859.16 : x
  2. Step 2: Convert to fraction form
    378,741.42/568,111.46 = 220,859.16/x
  3. Step 3: Cross multiply
    378,741.42x = 568,111.46 × 220,859.16
  4. Step 4: Simplify right side
    378,741.42x = 125,472,619,841.97
  5. Step 5: Solve for x
    x = 125,472,619,841.97/378,741.42
  6. Step 6: Final answer
    x = 331,288.35

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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.