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Finding the Fourth Proportional to 6,499,664.87, 8,978,880.51 and 5,191,198.92

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Solution

The fourth proportional to 6,499,664.87, 8,978,880.51 and 5,191,198.92 is: 7,171,316.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,499,664.87 : 8,978,880.51 = 5,191,198.92 : x
  2. Step 2: Convert to fraction form
    6,499,664.87/8,978,880.51 = 5,191,198.92/x
  3. Step 3: Cross multiply
    6,499,664.87x = 8,978,880.51 × 5,191,198.92
  4. Step 4: Simplify right side
    6,499,664.87x = 46,611,154,806,321.05
  5. Step 5: Solve for x
    x = 46,611,154,806,321.05/6,499,664.87
  6. Step 6: Final answer
    x = 7,171,316.64

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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.