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Finding the Fourth Proportional to 419,484,709.78, 629,229,054.84 and 128,351,368.19

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Solution

The fourth proportional to 419,484,709.78, 629,229,054.84 and 128,351,368.19 is: 192,527,661.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,484,709.78 : 629,229,054.84 = 128,351,368.19 : x
  2. Step 2: Convert to fraction form
    419,484,709.78/629,229,054.84 = 128,351,368.19/x
  3. Step 3: Cross multiply
    419,484,709.78x = 629,229,054.84 × 128,351,368.19
  4. Step 4: Simplify right side
    419,484,709.78x = 80,762,410,094,707,568
  5. Step 5: Solve for x
    x = 80,762,410,094,707,568/419,484,709.78
  6. Step 6: Final answer
    x = 192,527,661.23

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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.