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Finding the Fourth Proportional to 512,137.45, 706,749.57 and 282,694.68

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Solution

The fourth proportional to 512,137.45, 706,749.57 and 282,694.68 is: 390,118.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,137.45 : 706,749.57 = 282,694.68 : x
  2. Step 2: Convert to fraction form
    512,137.45/706,749.57 = 282,694.68/x
  3. Step 3: Cross multiply
    512,137.45x = 706,749.57 × 282,694.68
  4. Step 4: Simplify right side
    512,137.45x = 199,794,341,764.41
  5. Step 5: Solve for x
    x = 199,794,341,764.41/512,137.45
  6. Step 6: Final answer
    x = 390,118.59

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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.