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Finding the Fourth Proportional to 300,119.80, 414,201.04 and 172,820.20

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Solution

The fourth proportional to 300,119.80, 414,201.04 and 172,820.20 is: 238,512.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,119.80 : 414,201.04 = 172,820.20 : x
  2. Step 2: Convert to fraction form
    300,119.80/414,201.04 = 172,820.20/x
  3. Step 3: Cross multiply
    300,119.80x = 414,201.04 × 172,820.20
  4. Step 4: Simplify right side
    300,119.80x = 71,582,306,573.01
  5. Step 5: Solve for x
    x = 71,582,306,573.01/300,119.80
  6. Step 6: Final answer
    x = 238,512.44

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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.