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Finding the Fourth Proportional to 351,564.33, 485,129.54 and 206,354.42

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Solution

The fourth proportional to 351,564.33, 485,129.54 and 206,354.42 is: 284,751.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,564.33 : 485,129.54 = 206,354.42 : x
  2. Step 2: Convert to fraction form
    351,564.33/485,129.54 = 206,354.42/x
  3. Step 3: Cross multiply
    351,564.33x = 485,129.54 × 206,354.42
  4. Step 4: Simplify right side
    351,564.33x = 100,108,621,394.15
  5. Step 5: Solve for x
    x = 100,108,621,394.15/351,564.33
  6. Step 6: Final answer
    x = 284,751.93

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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.