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Finding the Fourth Proportional to 512,796.63, 707,666.82 and 283,359.22

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Solution

The fourth proportional to 512,796.63, 707,666.82 and 283,359.22 is: 391,039.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,796.63 : 707,666.82 = 283,359.22 : x
  2. Step 2: Convert to fraction form
    512,796.63/707,666.82 = 283,359.22/x
  3. Step 3: Cross multiply
    512,796.63x = 707,666.82 × 283,359.22
  4. Step 4: Simplify right side
    512,796.63x = 200,523,916,189.73
  5. Step 5: Solve for x
    x = 200,523,916,189.73/512,796.63
  6. Step 6: Final answer
    x = 391,039.85

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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.