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Finding the Fourth Proportional to 205,384.40, 308,076.60 and 197,219.60

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Solution

The fourth proportional to 205,384.40, 308,076.60 and 197,219.60 is: 295,829.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,384.40 : 308,076.60 = 197,219.60 : x
  2. Step 2: Convert to fraction form
    205,384.40/308,076.60 = 197,219.60/x
  3. Step 3: Cross multiply
    205,384.40x = 308,076.60 × 197,219.60
  4. Step 4: Simplify right side
    205,384.40x = 60,758,743,821.36
  5. Step 5: Solve for x
    x = 60,758,743,821.36/205,384.40
  6. Step 6: Final answer
    x = 295,829.40

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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.