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Finding the Fourth Proportional to 398,743.56, 598,147.74 and 118,260

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Solution

The fourth proportional to 398,743.56, 598,147.74 and 118,260 is: 177,399.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,743.56 : 598,147.74 = 118,260 : x
  2. Step 2: Convert to fraction form
    398,743.56/598,147.74 = 118,260/x
  3. Step 3: Cross multiply
    398,743.56x = 598,147.74 × 118,260
  4. Step 4: Simplify right side
    398,743.56x = 70,736,951,732.40
  5. Step 5: Solve for x
    x = 70,736,951,732.40/398,743.56
  6. Step 6: Final answer
    x = 177,399.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.