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Finding the Fourth Proportional to 270,065.77, 405,185.20 and 189,097.14

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Solution

The fourth proportional to 270,065.77, 405,185.20 and 189,097.14 is: 283,706.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,065.77 : 405,185.20 = 189,097.14 : x
  2. Step 2: Convert to fraction form
    270,065.77/405,185.20 = 189,097.14/x
  3. Step 3: Cross multiply
    270,065.77x = 405,185.20 × 189,097.14
  4. Step 4: Simplify right side
    270,065.77x = 76,619,362,490.33
  5. Step 5: Solve for x
    x = 76,619,362,490.33/270,065.77
  6. Step 6: Final answer
    x = 283,706.31

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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.