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Finding the Fourth Proportional to 279,936,019.20, 419,904,028.80 and 253,151,392.80

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Solution

The fourth proportional to 279,936,019.20, 419,904,028.80 and 253,151,392.80 is: 379,727,089.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,936,019.20 : 419,904,028.80 = 253,151,392.80 : x
  2. Step 2: Convert to fraction form
    279,936,019.20/419,904,028.80 = 253,151,392.80/x
  3. Step 3: Cross multiply
    279,936,019.20x = 419,904,028.80 × 253,151,392.80
  4. Step 4: Simplify right side
    279,936,019.20x = 106,299,289,733,051,328
  5. Step 5: Solve for x
    x = 106,299,289,733,051,328/279,936,019.20
  6. Step 6: Final answer
    x = 379,727,089.20

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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.