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Finding the Fourth Proportional to 312,796.91, 432,018.41 and 205,844.37

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Solution

The fourth proportional to 312,796.91, 432,018.41 and 205,844.37 is: 284,301.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,796.91 : 432,018.41 = 205,844.37 : x
  2. Step 2: Convert to fraction form
    312,796.91/432,018.41 = 205,844.37/x
  3. Step 3: Cross multiply
    312,796.91x = 432,018.41 × 205,844.37
  4. Step 4: Simplify right side
    312,796.91x = 88,928,556,405.63
  5. Step 5: Solve for x
    x = 88,928,556,405.63/312,796.91
  6. Step 6: Final answer
    x = 284,301.27

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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.