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Finding the Fourth Proportional to 512,578.87, 707,344.39 and 283,131.61

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Solution

The fourth proportional to 512,578.87, 707,344.39 and 283,131.61 is: 390,713.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,578.87 : 707,344.39 = 283,131.61 : x
  2. Step 2: Convert to fraction form
    512,578.87/707,344.39 = 283,131.61/x
  3. Step 3: Cross multiply
    512,578.87x = 707,344.39 × 283,131.61
  4. Step 4: Simplify right side
    512,578.87x = 200,271,555,965.17
  5. Step 5: Solve for x
    x = 200,271,555,965.17/512,578.87
  6. Step 6: Final answer
    x = 390,713.64

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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.