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Finding the Fourth Proportional to 203,300.44, 280,694.64 and 155,470.48

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Solution

The fourth proportional to 203,300.44, 280,694.64 and 155,470.48 is: 214,656.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,300.44 : 280,694.64 = 155,470.48 : x
  2. Step 2: Convert to fraction form
    203,300.44/280,694.64 = 155,470.48/x
  3. Step 3: Cross multiply
    203,300.44x = 280,694.64 × 155,470.48
  4. Step 4: Simplify right side
    203,300.44x = 43,639,730,414.23
  5. Step 5: Solve for x
    x = 43,639,730,414.23/203,300.44
  6. Step 6: Final answer
    x = 214,656.35

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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.