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Finding the Fourth Proportional to 378,506.42, 522,350.52 and 217,393.77

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Solution

The fourth proportional to 378,506.42, 522,350.52 and 217,393.77 is: 300,010.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,506.42 : 522,350.52 = 217,393.77 : x
  2. Step 2: Convert to fraction form
    378,506.42/522,350.52 = 217,393.77/x
  3. Step 3: Cross multiply
    378,506.42x = 522,350.52 × 217,393.77
  4. Step 4: Simplify right side
    378,506.42x = 113,555,751,170.69
  5. Step 5: Solve for x
    x = 113,555,751,170.69/378,506.42
  6. Step 6: Final answer
    x = 300,010.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.