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Finding the Fourth Proportional to 512,959.24, 707,861.77 and 283,504.67

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Solution

The fourth proportional to 512,959.24, 707,861.77 and 283,504.67 is: 391,224.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,959.24 : 707,861.77 = 283,504.67 : x
  2. Step 2: Convert to fraction form
    512,959.24/707,861.77 = 283,504.67/x
  3. Step 3: Cross multiply
    512,959.24x = 707,861.77 × 283,504.67
  4. Step 4: Simplify right side
    512,959.24x = 200,682,115,915.88
  5. Step 5: Solve for x
    x = 200,682,115,915.88/512,959.24
  6. Step 6: Final answer
    x = 391,224.29

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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.