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Finding the Fourth Proportional to 279,878.94, 419,884.02 and 111,409.56

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Solution

The fourth proportional to 279,878.94, 419,884.02 and 111,409.56 is: 167,140.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,878.94 : 419,884.02 = 111,409.56 : x
  2. Step 2: Convert to fraction form
    279,878.94/419,884.02 = 111,409.56/x
  3. Step 3: Cross multiply
    279,878.94x = 419,884.02 × 111,409.56
  4. Step 4: Simplify right side
    279,878.94x = 46,779,093,919.23
  5. Step 5: Solve for x
    x = 46,779,093,919.23/279,878.94
  6. Step 6: Final answer
    x = 167,140.46

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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.