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Finding the Fourth Proportional to 512,996.07, 769,079.03 and 213,701.48

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Solution

The fourth proportional to 512,996.07, 769,079.03 and 213,701.48 is: 320,379.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,996.07 : 769,079.03 = 213,701.48 : x
  2. Step 2: Convert to fraction form
    512,996.07/769,079.03 = 213,701.48/x
  3. Step 3: Cross multiply
    512,996.07x = 769,079.03 × 213,701.48
  4. Step 4: Simplify right side
    512,996.07x = 164,353,322,034.06
  5. Step 5: Solve for x
    x = 164,353,322,034.06/512,996.07
  6. Step 6: Final answer
    x = 320,379.30

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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.