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Finding the Fourth Proportional to 298,190.31, 411,493.25 and 162,220.77

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Solution

The fourth proportional to 298,190.31, 411,493.25 and 162,220.77 is: 223,859.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,190.31 : 411,493.25 = 162,220.77 : x
  2. Step 2: Convert to fraction form
    298,190.31/411,493.25 = 162,220.77/x
  3. Step 3: Cross multiply
    298,190.31x = 411,493.25 × 162,220.77
  4. Step 4: Simplify right side
    298,190.31x = 66,752,751,053.70
  5. Step 5: Solve for x
    x = 66,752,751,053.70/298,190.31
  6. Step 6: Final answer
    x = 223,859.56

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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.