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Finding the Fourth Proportional to 340,738.78, 470,208.49 and 195,568.46

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Solution

The fourth proportional to 340,738.78, 470,208.49 and 195,568.46 is: 269,878.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,738.78 : 470,208.49 = 195,568.46 : x
  2. Step 2: Convert to fraction form
    340,738.78/470,208.49 = 195,568.46/x
  3. Step 3: Cross multiply
    340,738.78x = 470,208.49 × 195,568.46
  4. Step 4: Simplify right side
    340,738.78x = 91,957,947,428.26
  5. Step 5: Solve for x
    x = 91,957,947,428.26/340,738.78
  6. Step 6: Final answer
    x = 269,878.14

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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.