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Finding the Fourth Proportional to 512,924.25, 768,971.11 and 213,628.86

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Solution

The fourth proportional to 512,924.25, 768,971.11 and 213,628.86 is: 320,270.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,924.25 : 768,971.11 = 213,628.86 : x
  2. Step 2: Convert to fraction form
    512,924.25/768,971.11 = 213,628.86/x
  3. Step 3: Cross multiply
    512,924.25x = 768,971.11 × 213,628.86
  4. Step 4: Simplify right side
    512,924.25x = 164,274,417,924.20
  5. Step 5: Solve for x
    x = 164,274,417,924.20/512,924.25
  6. Step 6: Final answer
    x = 320,270.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.