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Finding the Fourth Proportional to 340,778.96, 470,255.78 and 187,816.68

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Solution

The fourth proportional to 340,778.96, 470,255.78 and 187,816.68 is: 259,176.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,778.96 : 470,255.78 = 187,816.68 : x
  2. Step 2: Convert to fraction form
    340,778.96/470,255.78 = 187,816.68/x
  3. Step 3: Cross multiply
    340,778.96x = 470,255.78 × 187,816.68
  4. Step 4: Simplify right side
    340,778.96x = 88,321,879,350.41
  5. Step 5: Solve for x
    x = 88,321,879,350.41/340,778.96
  6. Step 6: Final answer
    x = 259,176.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.