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Finding the Fourth Proportional to 305,003.82, 457,563.30 and 115,520.93

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Solution

The fourth proportional to 305,003.82, 457,563.30 and 115,520.93 is: 173,303.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,003.82 : 457,563.30 = 115,520.93 : x
  2. Step 2: Convert to fraction form
    305,003.82/457,563.30 = 115,520.93/x
  3. Step 3: Cross multiply
    305,003.82x = 457,563.30 × 115,520.93
  4. Step 4: Simplify right side
    305,003.82x = 52,858,135,662.05
  5. Step 5: Solve for x
    x = 52,858,135,662.05/305,003.82
  6. Step 6: Final answer
    x = 173,303.19

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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.