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Finding the Fourth Proportional to 275,388.30, 412,555.86 and 186,204.06

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Solution

The fourth proportional to 275,388.30, 412,555.86 and 186,204.06 is: 278,950.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,388.30 : 412,555.86 = 186,204.06 : x
  2. Step 2: Convert to fraction form
    275,388.30/412,555.86 = 186,204.06/x
  3. Step 3: Cross multiply
    275,388.30x = 412,555.86 × 186,204.06
  4. Step 4: Simplify right side
    275,388.30x = 76,819,576,108.79
  5. Step 5: Solve for x
    x = 76,819,576,108.79/275,388.30
  6. Step 6: Final answer
    x = 278,950.04

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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.