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Finding the Fourth Proportional to 355,196.50, 490,171.17 and 196,220.50

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Solution

The fourth proportional to 355,196.50, 490,171.17 and 196,220.50 is: 270,784.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,196.50 : 490,171.17 = 196,220.50 : x
  2. Step 2: Convert to fraction form
    355,196.50/490,171.17 = 196,220.50/x
  3. Step 3: Cross multiply
    355,196.50x = 490,171.17 × 196,220.50
  4. Step 4: Simplify right side
    355,196.50x = 96,181,632,062.99
  5. Step 5: Solve for x
    x = 96,181,632,062.99/355,196.50
  6. Step 6: Final answer
    x = 270,784.29

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1.5x scale

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.