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Finding the Fourth Proportional to 279,704.10, 419,228.10 and 146,515.80

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Solution

The fourth proportional to 279,704.10, 419,228.10 and 146,515.80 is: 219,601.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,704.10 : 419,228.10 = 146,515.80 : x
  2. Step 2: Convert to fraction form
    279,704.10/419,228.10 = 146,515.80/x
  3. Step 3: Cross multiply
    279,704.10x = 419,228.10 × 146,515.80
  4. Step 4: Simplify right side
    279,704.10x = 61,423,540,453.98
  5. Step 5: Solve for x
    x = 61,423,540,453.98/279,704.10
  6. Step 6: Final answer
    x = 219,601.86

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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.