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Finding the Fourth Proportional to 275,287.28, 412,652.10 and 186,549.80

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Solution

The fourth proportional to 275,287.28, 412,652.10 and 186,549.80 is: 279,635.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,287.28 : 412,652.10 = 186,549.80 : x
  2. Step 2: Convert to fraction form
    275,287.28/412,652.10 = 186,549.80/x
  3. Step 3: Cross multiply
    275,287.28x = 412,652.10 × 186,549.80
  4. Step 4: Simplify right side
    275,287.28x = 76,980,166,724.58
  5. Step 5: Solve for x
    x = 76,980,166,724.58/275,287.28
  6. Step 6: Final answer
    x = 279,635.76

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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.