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Finding the Fourth Proportional to 205,818.80, 308,728.20 and 171,993.20

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Solution

The fourth proportional to 205,818.80, 308,728.20 and 171,993.20 is: 257,989.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,818.80 : 308,728.20 = 171,993.20 : x
  2. Step 2: Convert to fraction form
    205,818.80/308,728.20 = 171,993.20/x
  3. Step 3: Cross multiply
    205,818.80x = 308,728.20 × 171,993.20
  4. Step 4: Simplify right side
    205,818.80x = 53,099,151,048.24
  5. Step 5: Solve for x
    x = 53,099,151,048.24/205,818.80
  6. Step 6: Final answer
    x = 257,989.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.