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Finding the Fourth Proportional to 298,081.31, 411,348.23 and 162,112.34

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Solution

The fourth proportional to 298,081.31, 411,348.23 and 162,112.34 is: 223,712.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,081.31 : 411,348.23 = 162,112.34 : x
  2. Step 2: Convert to fraction form
    298,081.31/411,348.23 = 162,112.34/x
  3. Step 3: Cross multiply
    298,081.31x = 411,348.23 × 162,112.34
  4. Step 4: Simplify right side
    298,081.31x = 66,684,621,252.86
  5. Step 5: Solve for x
    x = 66,684,621,252.86/298,081.31
  6. Step 6: Final answer
    x = 223,712.86

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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.