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Finding the Fourth Proportional to 222,164.40, 306,585.60 and 204,090

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Solution

The fourth proportional to 222,164.40, 306,585.60 and 204,090 is: 281,643.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,164.40 : 306,585.60 = 204,090 : x
  2. Step 2: Convert to fraction form
    222,164.40/306,585.60 = 204,090/x
  3. Step 3: Cross multiply
    222,164.40x = 306,585.60 × 204,090
  4. Step 4: Simplify right side
    222,164.40x = 62,571,055,104.00
  5. Step 5: Solve for x
    x = 62,571,055,104.00/222,164.40
  6. Step 6: Final answer
    x = 281,643.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.