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Finding the Fourth Proportional to 262,168.20, 361,999.92 and 211,020

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Solution

The fourth proportional to 262,168.20, 361,999.92 and 211,020 is: 291,374.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,168.20 : 361,999.92 = 211,020 : x
  2. Step 2: Convert to fraction form
    262,168.20/361,999.92 = 211,020/x
  3. Step 3: Cross multiply
    262,168.20x = 361,999.92 × 211,020
  4. Step 4: Simplify right side
    262,168.20x = 76,389,223,118.40
  5. Step 5: Solve for x
    x = 76,389,223,118.40/262,168.20
  6. Step 6: Final answer
    x = 291,374.86

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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.