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Finding the Fourth Proportional to 9,405,183.69, 12,978,115.75 and 5,274,364.77

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Solution

The fourth proportional to 9,405,183.69, 12,978,115.75 and 5,274,364.77 is: 7,278,041.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,405,183.69 : 12,978,115.75 = 5,274,364.77 : x
  2. Step 2: Convert to fraction form
    9,405,183.69/12,978,115.75 = 5,274,364.77/x
  3. Step 3: Cross multiply
    9,405,183.69x = 12,978,115.75 × 5,274,364.77
  4. Step 4: Simplify right side
    9,405,183.69x = 68,451,316,479,596.21
  5. Step 5: Solve for x
    x = 68,451,316,479,596.21/9,405,183.69
  6. Step 6: Final answer
    x = 7,278,041.42

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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.