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Finding the Fourth Proportional to 412,244,611.40, 618,366,917.10 and 347,674,529.90

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Solution

The fourth proportional to 412,244,611.40, 618,366,917.10 and 347,674,529.90 is: 521,511,794.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,244,611.40 : 618,366,917.10 = 347,674,529.90 : x
  2. Step 2: Convert to fraction form
    412,244,611.40/618,366,917.10 = 347,674,529.90/x
  3. Step 3: Cross multiply
    412,244,611.40x = 618,366,917.10 × 347,674,529.90
  4. Step 4: Simplify right side
    412,244,611.40x = 214,990,427,208,454,752
  5. Step 5: Solve for x
    x = 214,990,427,208,454,752/412,244,611.40
  6. Step 6: Final answer
    x = 521,511,794.85

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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.