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Finding the Fourth Proportional to 512,997.24, 707,914.24 and 283,542.80

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Solution

The fourth proportional to 512,997.24, 707,914.24 and 283,542.80 is: 391,276.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,997.24 : 707,914.24 = 283,542.80 : x
  2. Step 2: Convert to fraction form
    512,997.24/707,914.24 = 283,542.80/x
  3. Step 3: Cross multiply
    512,997.24x = 707,914.24 × 283,542.80
  4. Step 4: Simplify right side
    512,997.24x = 200,723,985,769.47
  5. Step 5: Solve for x
    x = 200,723,985,769.47/512,997.24
  6. Step 6: Final answer
    x = 391,276.93

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1.5x scale

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.