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Finding the Fourth Proportional to 559,873,998.40, 839,810,997.60 and 196,321,115.20

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Solution

The fourth proportional to 559,873,998.40, 839,810,997.60 and 196,321,115.20 is: 294,481,672.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,873,998.40 : 839,810,997.60 = 196,321,115.20 : x
  2. Step 2: Convert to fraction form
    559,873,998.40/839,810,997.60 = 196,321,115.20/x
  3. Step 3: Cross multiply
    559,873,998.40x = 839,810,997.60 × 196,321,115.20
  4. Step 4: Simplify right side
    559,873,998.40x = 164,872,631,606,056,512
  5. Step 5: Solve for x
    x = 164,872,631,606,056,512/559,873,998.40
  6. Step 6: Final answer
    x = 294,481,672.80

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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.