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Finding the Fourth Proportional to 300,298.05, 414,383.10 and 203,304.60

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Solution

The fourth proportional to 300,298.05, 414,383.10 and 203,304.60 is: 280,541.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,298.05 : 414,383.10 = 203,304.60 : x
  2. Step 2: Convert to fraction form
    300,298.05/414,383.10 = 203,304.60/x
  3. Step 3: Cross multiply
    300,298.05x = 414,383.10 × 203,304.60
  4. Step 4: Simplify right side
    300,298.05x = 84,245,991,946.20
  5. Step 5: Solve for x
    x = 84,245,991,946.20/300,298.05
  6. Step 6: Final answer
    x = 280,541.25

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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.