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Finding the Fourth Proportional to 419,907,015.60, 629,860,523.40 and 381,643,263.60

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Solution

The fourth proportional to 419,907,015.60, 629,860,523.40 and 381,643,263.60 is: 572,464,895.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,907,015.60 : 629,860,523.40 = 381,643,263.60 : x
  2. Step 2: Convert to fraction form
    419,907,015.60/629,860,523.40 = 381,643,263.60/x
  3. Step 3: Cross multiply
    419,907,015.60x = 629,860,523.40 × 381,643,263.60
  4. Step 4: Simplify right side
    419,907,015.60x = 240,382,025,763,180,160
  5. Step 5: Solve for x
    x = 240,382,025,763,180,160/419,907,015.60
  6. Step 6: Final answer
    x = 572,464,895.40

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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.