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Finding the Fourth Proportional to 305,405.44, 421,863.44 and 254,584.32

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Solution

The fourth proportional to 305,405.44, 421,863.44 and 254,584.32 is: 351,663.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,405.44 : 421,863.44 = 254,584.32 : x
  2. Step 2: Convert to fraction form
    305,405.44/421,863.44 = 254,584.32/x
  3. Step 3: Cross multiply
    305,405.44x = 421,863.44 × 254,584.32
  4. Step 4: Simplify right side
    305,405.44x = 107,399,817,005.26
  5. Step 5: Solve for x
    x = 107,399,817,005.26/305,405.44
  6. Step 6: Final answer
    x = 351,663.08

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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.