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Finding the Fourth Proportional to 512,249.72, 706,247.50 and 420,029.24

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Solution

The fourth proportional to 512,249.72, 706,247.50 and 420,029.24 is: 579,101.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,249.72 : 706,247.50 = 420,029.24 : x
  2. Step 2: Convert to fraction form
    512,249.72/706,247.50 = 420,029.24/x
  3. Step 3: Cross multiply
    512,249.72x = 706,247.50 × 420,029.24
  4. Step 4: Simplify right side
    512,249.72x = 296,644,600,676.90
  5. Step 5: Solve for x
    x = 296,644,600,676.90/512,249.72
  6. Step 6: Final answer
    x = 579,101.54

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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.