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Finding the Fourth Proportional to 300,120.80, 414,202.42 and 172,821.20

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Solution

The fourth proportional to 300,120.80, 414,202.42 and 172,821.20 is: 238,513.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,120.80 : 414,202.42 = 172,821.20 : x
  2. Step 2: Convert to fraction form
    300,120.80/414,202.42 = 172,821.20/x
  3. Step 3: Cross multiply
    300,120.80x = 414,202.42 × 172,821.20
  4. Step 4: Simplify right side
    300,120.80x = 71,582,959,267.30
  5. Step 5: Solve for x
    x = 71,582,959,267.30/300,120.80
  6. Step 6: Final answer
    x = 238,513.82

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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.