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Finding the Fourth Proportional to 512,952.99, 707,911.78 and 283,505.34

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Solution

The fourth proportional to 512,952.99, 707,911.78 and 283,505.34 is: 391,257.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,952.99 : 707,911.78 = 283,505.34 : x
  2. Step 2: Convert to fraction form
    512,952.99/707,911.78 = 283,505.34/x
  3. Step 3: Cross multiply
    512,952.99x = 707,911.78 × 283,505.34
  4. Step 4: Simplify right side
    512,952.99x = 200,696,769,878.91
  5. Step 5: Solve for x
    x = 200,696,769,878.91/512,952.99
  6. Step 6: Final answer
    x = 391,257.63

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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.