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Finding the Fourth Proportional to 512,879.23, 707,787.48 and 283,451.39

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Solution

The fourth proportional to 512,879.23, 707,787.48 and 283,451.39 is: 391,170.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,879.23 : 707,787.48 = 283,451.39 : x
  2. Step 2: Convert to fraction form
    512,879.23/707,787.48 = 283,451.39/x
  3. Step 3: Cross multiply
    512,879.23x = 707,787.48 × 283,451.39
  4. Step 4: Simplify right side
    512,879.23x = 200,623,345,030.60
  5. Step 5: Solve for x
    x = 200,623,345,030.60/512,879.23
  6. Step 6: Final answer
    x = 391,170.73

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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.