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Finding the Fourth Proportional to 355,285.25, 490,294.92 and 194,140.29

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Solution

The fourth proportional to 355,285.25, 490,294.92 and 194,140.29 is: 267,914.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,285.25 : 490,294.92 = 194,140.29 : x
  2. Step 2: Convert to fraction form
    355,285.25/490,294.92 = 194,140.29/x
  3. Step 3: Cross multiply
    355,285.25x = 490,294.92 × 194,140.29
  4. Step 4: Simplify right side
    355,285.25x = 95,185,997,954.33
  5. Step 5: Solve for x
    x = 95,185,997,954.33/355,285.25
  6. Step 6: Final answer
    x = 267,914.30

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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.