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Finding the Fourth Proportional to 512,961.66, 769,200.30 and 299,790.72

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Solution

The fourth proportional to 512,961.66, 769,200.30 and 299,790.72 is: 449,544.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,961.66 : 769,200.30 = 299,790.72 : x
  2. Step 2: Convert to fraction form
    512,961.66/769,200.30 = 299,790.72/x
  3. Step 3: Cross multiply
    512,961.66x = 769,200.30 × 299,790.72
  4. Step 4: Simplify right side
    512,961.66x = 230,599,111,761.22
  5. Step 5: Solve for x
    x = 230,599,111,761.22/512,961.66
  6. Step 6: Final answer
    x = 449,544.54

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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.