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Finding the Fourth Proportional to 512,074.42, 706,662.26 and 285,719.92

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Solution

The fourth proportional to 512,074.42, 706,662.26 and 285,719.92 is: 394,293.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,074.42 : 706,662.26 = 285,719.92 : x
  2. Step 2: Convert to fraction form
    512,074.42/706,662.26 = 285,719.92/x
  3. Step 3: Cross multiply
    512,074.42x = 706,662.26 × 285,719.92
  4. Step 4: Simplify right side
    512,074.42x = 201,907,484,394.22
  5. Step 5: Solve for x
    x = 201,907,484,394.22/512,074.42
  6. Step 6: Final answer
    x = 394,293.24

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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.