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Finding the Fourth Proportional to 279,890.64, 419,850.54 and 80,192.07

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Solution

The fourth proportional to 279,890.64, 419,850.54 and 80,192.07 is: 120,292.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,890.64 : 419,850.54 = 80,192.07 : x
  2. Step 2: Convert to fraction form
    279,890.64/419,850.54 = 80,192.07/x
  3. Step 3: Cross multiply
    279,890.64x = 419,850.54 × 80,192.07
  4. Step 4: Simplify right side
    279,890.64x = 33,668,683,893.22
  5. Step 5: Solve for x
    x = 33,668,683,893.22/279,890.64
  6. Step 6: Final answer
    x = 120,292.28

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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.