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Finding the Fourth Proportional to 279,942.60, 419,913.90 and 167,968.20

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Solution

The fourth proportional to 279,942.60, 419,913.90 and 167,968.20 is: 251,952.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,942.60 : 419,913.90 = 167,968.20 : x
  2. Step 2: Convert to fraction form
    279,942.60/419,913.90 = 167,968.20/x
  3. Step 3: Cross multiply
    279,942.60x = 419,913.90 × 167,968.20
  4. Step 4: Simplify right side
    279,942.60x = 70,532,181,937.98
  5. Step 5: Solve for x
    x = 70,532,181,937.98/279,942.60
  6. Step 6: Final answer
    x = 251,952.30

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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.