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Finding the Fourth Proportional to 340,940.78, 470,553.71 and 205,112.01

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Solution

The fourth proportional to 340,940.78, 470,553.71 and 205,112.01 is: 283,087.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,940.78 : 470,553.71 = 205,112.01 : x
  2. Step 2: Convert to fraction form
    340,940.78/470,553.71 = 205,112.01/x
  3. Step 3: Cross multiply
    340,940.78x = 470,553.71 × 205,112.01
  4. Step 4: Simplify right side
    340,940.78x = 96,516,216,245.50
  5. Step 5: Solve for x
    x = 96,516,216,245.50/340,940.78
  6. Step 6: Final answer
    x = 283,087.92

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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.