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Finding the Fourth Proportional to 300,299.18, 414,384.65 and 203,305.73

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Solution

The fourth proportional to 300,299.18, 414,384.65 and 203,305.73 is: 280,542.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,299.18 : 414,384.65 = 203,305.73 : x
  2. Step 2: Convert to fraction form
    300,299.18/414,384.65 = 203,305.73/x
  3. Step 3: Cross multiply
    300,299.18x = 414,384.65 × 203,305.73
  4. Step 4: Simplify right side
    300,299.18x = 84,246,773,769.04
  5. Step 5: Solve for x
    x = 84,246,773,769.04/300,299.18
  6. Step 6: Final answer
    x = 280,542.80

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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.