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Finding the Fourth Proportional to 30,976,456.93, 46,469,978.92 and 12,770,699.91

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Solution

The fourth proportional to 30,976,456.93, 46,469,978.92 and 12,770,699.91 is: 19,158,232.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,976,456.93 : 46,469,978.92 = 12,770,699.91 : x
  2. Step 2: Convert to fraction form
    30,976,456.93/46,469,978.92 = 12,770,699.91/x
  3. Step 3: Cross multiply
    30,976,456.93x = 46,469,978.92 × 12,770,699.91
  4. Step 4: Simplify right side
    30,976,456.93x = 593,454,155,611,345.88
  5. Step 5: Solve for x
    x = 593,454,155,611,345.88/30,976,456.93
  6. Step 6: Final answer
    x = 19,158,232.23

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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.