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Finding the Fourth Proportional to 298,107.06, 411,366.56 and 162,138.23

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Solution

The fourth proportional to 298,107.06, 411,366.56 and 162,138.23 is: 223,739.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,107.06 : 411,366.56 = 162,138.23 : x
  2. Step 2: Convert to fraction form
    298,107.06/411,366.56 = 162,138.23/x
  3. Step 3: Cross multiply
    298,107.06x = 411,366.56 × 162,138.23
  4. Step 4: Simplify right side
    298,107.06x = 66,698,243,052.06
  5. Step 5: Solve for x
    x = 66,698,243,052.06/298,107.06
  6. Step 6: Final answer
    x = 223,739.23

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Double scale
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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.