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Finding the Fourth Proportional to 279,414.90, 419,118.22 and 69,052.84

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Solution

The fourth proportional to 279,414.90, 419,118.22 and 69,052.84 is: 103,578.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,414.90 : 419,118.22 = 69,052.84 : x
  2. Step 2: Convert to fraction form
    279,414.90/419,118.22 = 69,052.84/x
  3. Step 3: Cross multiply
    279,414.90x = 419,118.22 × 69,052.84
  4. Step 4: Simplify right side
    279,414.90x = 28,941,303,386.74
  5. Step 5: Solve for x
    x = 28,941,303,386.74/279,414.90
  6. Step 6: Final answer
    x = 103,578.24

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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.