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Finding the Fourth Proportional to 7,718,517.76, 10,649,837.76 and 4,454,640.64

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Solution

The fourth proportional to 7,718,517.76, 10,649,837.76 and 4,454,640.64 is: 6,146,413.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,718,517.76 : 10,649,837.76 = 4,454,640.64 : x
  2. Step 2: Convert to fraction form
    7,718,517.76/10,649,837.76 = 4,454,640.64/x
  3. Step 3: Cross multiply
    7,718,517.76x = 10,649,837.76 × 4,454,640.64
  4. Step 4: Simplify right side
    7,718,517.76x = 47,441,200,095,102.56
  5. Step 5: Solve for x
    x = 47,441,200,095,102.56/7,718,517.76
  6. Step 6: Final answer
    x = 6,146,413.28

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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.