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Finding the Fourth Proportional to 205,384.40, 308,076.60 and 181,278.80

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Solution

The fourth proportional to 205,384.40, 308,076.60 and 181,278.80 is: 271,918.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,384.40 : 308,076.60 = 181,278.80 : x
  2. Step 2: Convert to fraction form
    205,384.40/308,076.60 = 181,278.80/x
  3. Step 3: Cross multiply
    205,384.40x = 308,076.60 × 181,278.80
  4. Step 4: Simplify right side
    205,384.40x = 55,847,756,356.08
  5. Step 5: Solve for x
    x = 55,847,756,356.08/205,384.40
  6. Step 6: Final answer
    x = 271,918.20

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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.