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Finding the Fourth Proportional to 340,662.24, 470,107.80 and 189,756

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Solution

The fourth proportional to 340,662.24, 470,107.80 and 189,756 is: 261,859.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,662.24 : 470,107.80 = 189,756 : x
  2. Step 2: Convert to fraction form
    340,662.24/470,107.80 = 189,756/x
  3. Step 3: Cross multiply
    340,662.24x = 470,107.80 × 189,756
  4. Step 4: Simplify right side
    340,662.24x = 89,205,775,696.80
  5. Step 5: Solve for x
    x = 89,205,775,696.80/340,662.24
  6. Step 6: Final answer
    x = 261,859.89

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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.