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Finding the Fourth Proportional to 512,063.02, 706,647 and 285,708.52

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Solution

The fourth proportional to 512,063.02, 706,647 and 285,708.52 is: 394,277.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,063.02 : 706,647 = 285,708.52 : x
  2. Step 2: Convert to fraction form
    512,063.02/706,647 = 285,708.52/x
  3. Step 3: Cross multiply
    512,063.02x = 706,647 × 285,708.52
  4. Step 4: Simplify right side
    512,063.02x = 201,895,068,532.44
  5. Step 5: Solve for x
    x = 201,895,068,532.44/512,063.02
  6. Step 6: Final answer
    x = 394,277.78

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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.