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Finding the Fourth Proportional to 279,794.94, 419,341.20 and 220,396.02

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Solution

The fourth proportional to 279,794.94, 419,341.20 and 220,396.02 is: 330,317.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,794.94 : 419,341.20 = 220,396.02 : x
  2. Step 2: Convert to fraction form
    279,794.94/419,341.20 = 220,396.02/x
  3. Step 3: Cross multiply
    279,794.94x = 419,341.20 × 220,396.02
  4. Step 4: Simplify right side
    279,794.94x = 92,421,131,502.02
  5. Step 5: Solve for x
    x = 92,421,131,502.02/279,794.94
  6. Step 6: Final answer
    x = 330,317.38

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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.