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Finding the Fourth Proportional to 378,606.27, 522,486.51 and 206,527.14

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Solution

The fourth proportional to 378,606.27, 522,486.51 and 206,527.14 is: 285,012.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,606.27 : 522,486.51 = 206,527.14 : x
  2. Step 2: Convert to fraction form
    378,606.27/522,486.51 = 206,527.14/x
  3. Step 3: Cross multiply
    378,606.27x = 522,486.51 × 206,527.14
  4. Step 4: Simplify right side
    378,606.27x = 107,907,644,598.88
  5. Step 5: Solve for x
    x = 107,907,644,598.88/378,606.27
  6. Step 6: Final answer
    x = 285,012.83

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1.5x scale

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.