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Finding the Fourth Proportional to 300,991.92, 415,225.73 and 180,108.86

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Solution

The fourth proportional to 300,991.92, 415,225.73 and 180,108.86 is: 248,464.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,991.92 : 415,225.73 = 180,108.86 : x
  2. Step 2: Convert to fraction form
    300,991.92/415,225.73 = 180,108.86/x
  3. Step 3: Cross multiply
    300,991.92x = 415,225.73 × 180,108.86
  4. Step 4: Simplify right side
    300,991.92x = 74,785,832,872.97
  5. Step 5: Solve for x
    x = 74,785,832,872.97/300,991.92
  6. Step 6: Final answer
    x = 248,464.59

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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.