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Finding the Fourth Proportional to 300,298.68, 414,383.96 and 203,305.23

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Solution

The fourth proportional to 300,298.68, 414,383.96 and 203,305.23 is: 280,542.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,298.68 : 414,383.96 = 203,305.23 : x
  2. Step 2: Convert to fraction form
    300,298.68/414,383.96 = 203,305.23/x
  3. Step 3: Cross multiply
    300,298.68x = 414,383.96 × 203,305.23
  4. Step 4: Simplify right side
    300,298.68x = 84,246,426,296.11
  5. Step 5: Solve for x
    x = 84,246,426,296.11/300,298.68
  6. Step 6: Final answer
    x = 280,542.11

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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.