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Finding the Fourth Proportional to 533,872,993.80, 800,809,490.70 and 419,211,208.20

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Solution

The fourth proportional to 533,872,993.80, 800,809,490.70 and 419,211,208.20 is: 628,816,812.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,872,993.80 : 800,809,490.70 = 419,211,208.20 : x
  2. Step 2: Convert to fraction form
    533,872,993.80/800,809,490.70 = 419,211,208.20/x
  3. Step 3: Cross multiply
    533,872,993.80x = 800,809,490.70 × 419,211,208.20
  4. Step 4: Simplify right side
    533,872,993.80x = 335,708,314,134,373,696
  5. Step 5: Solve for x
    x = 335,708,314,134,373,696/533,872,993.80
  6. Step 6: Final answer
    x = 628,816,812.30

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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.