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Finding the Fourth Proportional to 279,936.60, 419,904.90 and 174,814.80

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Solution

The fourth proportional to 279,936.60, 419,904.90 and 174,814.80 is: 262,222.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,936.60 : 419,904.90 = 174,814.80 : x
  2. Step 2: Convert to fraction form
    279,936.60/419,904.90 = 174,814.80/x
  3. Step 3: Cross multiply
    279,936.60x = 419,904.90 × 174,814.80
  4. Step 4: Simplify right side
    279,936.60x = 73,405,591,112.52
  5. Step 5: Solve for x
    x = 73,405,591,112.52/279,936.60
  6. Step 6: Final answer
    x = 262,222.20

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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.