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Finding the Fourth Proportional to 298,912.32, 412,287.84 and 177,959.88

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Solution

The fourth proportional to 298,912.32, 412,287.84 and 177,959.88 is: 245,458.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,912.32 : 412,287.84 = 177,959.88 : x
  2. Step 2: Convert to fraction form
    298,912.32/412,287.84 = 177,959.88/x
  3. Step 3: Cross multiply
    298,912.32x = 412,287.84 × 177,959.88
  4. Step 4: Simplify right side
    298,912.32x = 73,370,694,531.86
  5. Step 5: Solve for x
    x = 73,370,694,531.86/298,912.32
  6. Step 6: Final answer
    x = 245,458.92

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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.