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Finding the Fourth Proportional to 300,566.10, 450,680.26 and 205,903.02

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Solution

The fourth proportional to 300,566.10, 450,680.26 and 205,903.02 is: 308,738.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,566.10 : 450,680.26 = 205,903.02 : x
  2. Step 2: Convert to fraction form
    300,566.10/450,680.26 = 205,903.02/x
  3. Step 3: Cross multiply
    300,566.10x = 450,680.26 × 205,903.02
  4. Step 4: Simplify right side
    300,566.10x = 92,796,426,588.39
  5. Step 5: Solve for x
    x = 92,796,426,588.39/300,566.10
  6. Step 6: Final answer
    x = 308,738.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.