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Finding the Fourth Proportional to 248,396.28, 342,786.84 and 135,219

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Solution

The fourth proportional to 248,396.28, 342,786.84 and 135,219 is: 186,602.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,396.28 : 342,786.84 = 135,219 : x
  2. Step 2: Convert to fraction form
    248,396.28/342,786.84 = 135,219/x
  3. Step 3: Cross multiply
    248,396.28x = 342,786.84 × 135,219
  4. Step 4: Simplify right side
    248,396.28x = 46,351,293,717.96
  5. Step 5: Solve for x
    x = 46,351,293,717.96/248,396.28
  6. Step 6: Final answer
    x = 186,602.21

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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.