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Finding the Fourth Proportional to 512,880.87, 707,738.52 and 283,435.41

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Solution

The fourth proportional to 512,880.87, 707,738.52 and 283,435.41 is: 391,120.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,880.87 : 707,738.52 = 283,435.41 : x
  2. Step 2: Convert to fraction form
    512,880.87/707,738.52 = 283,435.41/x
  3. Step 3: Cross multiply
    512,880.87x = 707,738.52 × 283,435.41
  4. Step 4: Simplify right side
    512,880.87x = 200,598,157,588.99
  5. Step 5: Solve for x
    x = 200,598,157,588.99/512,880.87
  6. Step 6: Final answer
    x = 391,120.37

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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.