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Finding the Fourth Proportional to 308,020.80, 462,405.60 and 195,700.80

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Solution

The fourth proportional to 308,020.80, 462,405.60 and 195,700.80 is: 293,789.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,020.80 : 462,405.60 = 195,700.80 : x
  2. Step 2: Convert to fraction form
    308,020.80/462,405.60 = 195,700.80/x
  3. Step 3: Cross multiply
    308,020.80x = 462,405.60 × 195,700.80
  4. Step 4: Simplify right side
    308,020.80x = 90,493,145,844.48
  5. Step 5: Solve for x
    x = 90,493,145,844.48/308,020.80
  6. Step 6: Final answer
    x = 293,789.07

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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.