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Finding the Fourth Proportional to 30,976,456.43, 46,469,978.17 and 12,770,699.41

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Solution

The fourth proportional to 30,976,456.43, 46,469,978.17 and 12,770,699.41 is: 19,158,231.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,976,456.43 : 46,469,978.17 = 12,770,699.41 : x
  2. Step 2: Convert to fraction form
    30,976,456.43/46,469,978.17 = 12,770,699.41/x
  3. Step 3: Cross multiply
    30,976,456.43x = 46,469,978.17 × 12,770,699.41
  4. Step 4: Simplify right side
    30,976,456.43x = 593,454,122,798,331.88
  5. Step 5: Solve for x
    x = 593,454,122,798,331.88/30,976,456.43
  6. Step 6: Final answer
    x = 19,158,231.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.