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Finding the Fourth Proportional to 6,471,212.70, 9,713,039.85 and 3,279,942.30

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Solution

The fourth proportional to 6,471,212.70, 9,713,039.85 and 3,279,942.30 is: 4,923,066.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,471,212.70 : 9,713,039.85 = 3,279,942.30 : x
  2. Step 2: Convert to fraction form
    6,471,212.70/9,713,039.85 = 3,279,942.30/x
  3. Step 3: Cross multiply
    6,471,212.70x = 9,713,039.85 × 3,279,942.30
  4. Step 4: Simplify right side
    6,471,212.70x = 31,858,210,265,600.65
  5. Step 5: Solve for x
    x = 31,858,210,265,600.65/6,471,212.70
  6. Step 6: Final answer
    x = 4,923,066.47

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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.