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Finding the Fourth Proportional to 256,450.40, 353,893.44 and 180,080.48

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Solution

The fourth proportional to 256,450.40, 353,893.44 and 180,080.48 is: 248,505.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,450.40 : 353,893.44 = 180,080.48 : x
  2. Step 2: Convert to fraction form
    256,450.40/353,893.44 = 180,080.48/x
  3. Step 3: Cross multiply
    256,450.40x = 353,893.44 × 180,080.48
  4. Step 4: Simplify right side
    256,450.40x = 63,729,300,544.05
  5. Step 5: Solve for x
    x = 63,729,300,544.05/256,450.40
  6. Step 6: Final answer
    x = 248,505.37

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1.5x scale

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.