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Finding the Fourth Proportional to 409,247,999.20, 613,871,998.80 and 356,694,680.80

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Solution

The fourth proportional to 409,247,999.20, 613,871,998.80 and 356,694,680.80 is: 535,042,021.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,247,999.20 : 613,871,998.80 = 356,694,680.80 : x
  2. Step 2: Convert to fraction form
    409,247,999.20/613,871,998.80 = 356,694,680.80/x
  3. Step 3: Cross multiply
    409,247,999.20x = 613,871,998.80 × 356,694,680.80
  4. Step 4: Simplify right side
    409,247,999.20x = 218,964,876,664,023,968
  5. Step 5: Solve for x
    x = 218,964,876,664,023,968/409,247,999.20
  6. Step 6: Final answer
    x = 535,042,021.20

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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.