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Finding the Fourth Proportional to 511,758,855.60, 767,638,283.40 and 419,925,850.80

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Solution

The fourth proportional to 511,758,855.60, 767,638,283.40 and 419,925,850.80 is: 629,888,776.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,758,855.60 : 767,638,283.40 = 419,925,850.80 : x
  2. Step 2: Convert to fraction form
    511,758,855.60/767,638,283.40 = 419,925,850.80/x
  3. Step 3: Cross multiply
    511,758,855.60x = 767,638,283.40 × 419,925,850.80
  4. Step 4: Simplify right side
    511,758,855.60x = 322,351,159,263,396,544
  5. Step 5: Solve for x
    x = 322,351,159,263,396,544/511,758,855.60
  6. Step 6: Final answer
    x = 629,888,776.20

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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.