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Finding the Fourth Proportional to 869,974,734.94, 1,305,084,421.32 and 279,567,035.80

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Solution

The fourth proportional to 869,974,734.94, 1,305,084,421.32 and 279,567,035.80 is: 419,389,860.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,974,734.94 : 1,305,084,421.32 = 279,567,035.80 : x
  2. Step 2: Convert to fraction form
    869,974,734.94/1,305,084,421.32 = 279,567,035.80/x
  3. Step 3: Cross multiply
    869,974,734.94x = 1,305,084,421.32 × 279,567,035.80
  4. Step 4: Simplify right side
    869,974,734.94x = 364,858,583,137,190,720
  5. Step 5: Solve for x
    x = 364,858,583,137,190,720/869,974,734.94
  6. Step 6: Final answer
    x = 419,389,860.97

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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.