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Finding the Fourth Proportional to 512,282.86, 706,921.59 and 285,942.94

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Solution

The fourth proportional to 512,282.86, 706,921.59 and 285,942.94 is: 394,585.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,282.86 : 706,921.59 = 285,942.94 : x
  2. Step 2: Convert to fraction form
    512,282.86/706,921.59 = 285,942.94/x
  3. Step 3: Cross multiply
    512,282.86x = 706,921.59 × 285,942.94
  4. Step 4: Simplify right side
    512,282.86x = 202,139,237,794.08
  5. Step 5: Solve for x
    x = 202,139,237,794.08/512,282.86
  6. Step 6: Final answer
    x = 394,585.21

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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.