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Finding the Fourth Proportional to 300,568.74, 450,684.19 and 205,905.66

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Solution

The fourth proportional to 300,568.74, 450,684.19 and 205,905.66 is: 308,742.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,568.74 : 450,684.19 = 205,905.66 : x
  2. Step 2: Convert to fraction form
    300,568.74/450,684.19 = 205,905.66/x
  3. Step 3: Cross multiply
    300,568.74x = 450,684.19 × 205,905.66
  4. Step 4: Simplify right side
    300,568.74x = 92,798,425,593.52
  5. Step 5: Solve for x
    x = 92,798,425,593.52/300,568.74
  6. Step 6: Final answer
    x = 308,742.77

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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.