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Finding the Fourth Proportional to 340,812.82, 470,342.22 and 187,850.80

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Solution

The fourth proportional to 340,812.82, 470,342.22 and 187,850.80 is: 259,245.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,812.82 : 470,342.22 = 187,850.80 : x
  2. Step 2: Convert to fraction form
    340,812.82/470,342.22 = 187,850.80/x
  3. Step 3: Cross multiply
    340,812.82x = 470,342.22 × 187,850.80
  4. Step 4: Simplify right side
    340,812.82x = 88,354,162,300.78
  5. Step 5: Solve for x
    x = 88,354,162,300.78/340,812.82
  6. Step 6: Final answer
    x = 259,245.42

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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.