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Finding the Fourth Proportional to 279,855.20, 419,477.74 and 137,417.72

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Solution

The fourth proportional to 279,855.20, 419,477.74 and 137,417.72 is: 205,976.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,855.20 : 419,477.74 = 137,417.72 : x
  2. Step 2: Convert to fraction form
    279,855.20/419,477.74 = 137,417.72/x
  3. Step 3: Cross multiply
    279,855.20x = 419,477.74 × 137,417.72
  4. Step 4: Simplify right side
    279,855.20x = 57,643,672,180.62
  5. Step 5: Solve for x
    x = 57,643,672,180.62/279,855.20
  6. Step 6: Final answer
    x = 205,976.78

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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.