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Finding the Fourth Proportional to 279,480.58, 418,846.95 and 137,107.78

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Solution

The fourth proportional to 279,480.58, 418,846.95 and 137,107.78 is: 205,478.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,480.58 : 418,846.95 = 137,107.78 : x
  2. Step 2: Convert to fraction form
    279,480.58/418,846.95 = 137,107.78/x
  3. Step 3: Cross multiply
    279,480.58x = 418,846.95 × 137,107.78
  4. Step 4: Simplify right side
    279,480.58x = 57,427,175,474.27
  5. Step 5: Solve for x
    x = 57,427,175,474.27/279,480.58
  6. Step 6: Final answer
    x = 205,478.23

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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.