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Finding the Fourth Proportional to 279,745.50, 419,312.97 and 137,688.54

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Solution

The fourth proportional to 279,745.50, 419,312.97 and 137,688.54 is: 206,382.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,745.50 : 419,312.97 = 137,688.54 : x
  2. Step 2: Convert to fraction form
    279,745.50/419,312.97 = 137,688.54/x
  3. Step 3: Cross multiply
    279,745.50x = 419,312.97 × 137,688.54
  4. Step 4: Simplify right side
    279,745.50x = 57,734,590,642.36
  5. Step 5: Solve for x
    x = 57,734,590,642.36/279,745.50
  6. Step 6: Final answer
    x = 206,382.55

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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.