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Finding the Fourth Proportional to 512,251.71, 706,250.25 and 420,031.26

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Solution

The fourth proportional to 512,251.71, 706,250.25 and 420,031.26 is: 579,104.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,251.71 : 706,250.25 = 420,031.26 : x
  2. Step 2: Convert to fraction form
    512,251.71/706,250.25 = 420,031.26/x
  3. Step 3: Cross multiply
    512,251.71x = 706,250.25 × 420,031.26
  4. Step 4: Simplify right side
    512,251.71x = 296,647,182,382.82
  5. Step 5: Solve for x
    x = 296,647,182,382.82/512,251.71
  6. Step 6: Final answer
    x = 579,104.33

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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.