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Finding the Fourth Proportional to 299,085.44, 412,762.72 and 171,785.60

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Solution

The fourth proportional to 299,085.44, 412,762.72 and 171,785.60 is: 237,078.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,085.44 : 412,762.72 = 171,785.60 : x
  2. Step 2: Convert to fraction form
    299,085.44/412,762.72 = 171,785.60/x
  3. Step 3: Cross multiply
    299,085.44x = 412,762.72 × 171,785.60
  4. Step 4: Simplify right side
    299,085.44x = 70,906,691,512.83
  5. Step 5: Solve for x
    x = 70,906,691,512.83/299,085.44
  6. Step 6: Final answer
    x = 237,078.38

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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.