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Finding the Fourth Proportional to 279,907.53, 419,822.01 and 80,244.96

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Solution

The fourth proportional to 279,907.53, 419,822.01 and 80,244.96 is: 120,356.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,907.53 : 419,822.01 = 80,244.96 : x
  2. Step 2: Convert to fraction form
    279,907.53/419,822.01 = 80,244.96/x
  3. Step 3: Cross multiply
    279,907.53x = 419,822.01 × 80,244.96
  4. Step 4: Simplify right side
    279,907.53x = 33,688,600,399.57
  5. Step 5: Solve for x
    x = 33,688,600,399.57/279,907.53
  6. Step 6: Final answer
    x = 120,356.18

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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.