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Finding the Fourth Proportional to 512,271.70, 768,396.78 and 170,739.86

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Solution

The fourth proportional to 512,271.70, 768,396.78 and 170,739.86 is: 256,106.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,271.70 : 768,396.78 = 170,739.86 : x
  2. Step 2: Convert to fraction form
    512,271.70/768,396.78 = 170,739.86/x
  3. Step 3: Cross multiply
    512,271.70x = 768,396.78 × 170,739.86
  4. Step 4: Simplify right side
    512,271.70x = 131,195,958,641.65
  5. Step 5: Solve for x
    x = 131,195,958,641.65/512,271.70
  6. Step 6: Final answer
    x = 256,106.20

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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.