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Finding the Fourth Proportional to 340,716.38, 470,198.32 and 189,823.10

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Solution

The fourth proportional to 340,716.38, 470,198.32 and 189,823.10 is: 261,961.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,716.38 : 470,198.32 = 189,823.10 : x
  2. Step 2: Convert to fraction form
    340,716.38/470,198.32 = 189,823.10/x
  3. Step 3: Cross multiply
    340,716.38x = 470,198.32 × 189,823.10
  4. Step 4: Simplify right side
    340,716.38x = 89,254,499,891.64
  5. Step 5: Solve for x
    x = 89,254,499,891.64/340,716.38
  6. Step 6: Final answer
    x = 261,961.29

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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.