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Finding the Fourth Proportional to 512,333, 707,010.78 and 282,884.57

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Solution

The fourth proportional to 512,333, 707,010.78 and 282,884.57 is: 390,375.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,333 : 707,010.78 = 282,884.57 : x
  2. Step 2: Convert to fraction form
    512,333/707,010.78 = 282,884.57/x
  3. Step 3: Cross multiply
    512,333x = 707,010.78 × 282,884.57
  4. Step 4: Simplify right side
    512,333x = 200,002,440,485.67
  5. Step 5: Solve for x
    x = 200,002,440,485.67/512,333
  6. Step 6: Final answer
    x = 390,375.87

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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.