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Finding the Fourth Proportional to 378,814.86, 522,777.06 and 206,742.24

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Solution

The fourth proportional to 378,814.86, 522,777.06 and 206,742.24 is: 285,311.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,814.86 : 522,777.06 = 206,742.24 : x
  2. Step 2: Convert to fraction form
    378,814.86/522,777.06 = 206,742.24/x
  3. Step 3: Cross multiply
    378,814.86x = 522,777.06 × 206,742.24
  4. Step 4: Simplify right side
    378,814.86x = 108,080,100,405.01
  5. Step 5: Solve for x
    x = 108,080,100,405.01/378,814.86
  6. Step 6: Final answer
    x = 285,311.14

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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.