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Finding the Fourth Proportional to 512,676.92, 768,763.92 and 299,498.36

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Solution

The fourth proportional to 512,676.92, 768,763.92 and 299,498.36 is: 449,100.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,676.92 : 768,763.92 = 299,498.36 : x
  2. Step 2: Convert to fraction form
    512,676.92/768,763.92 = 299,498.36/x
  3. Step 3: Cross multiply
    512,676.92x = 768,763.92 × 299,498.36
  4. Step 4: Simplify right side
    512,676.92x = 230,243,533,267.17
  5. Step 5: Solve for x
    x = 230,243,533,267.17/512,676.92
  6. Step 6: Final answer
    x = 449,100.64

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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.