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Finding the Fourth Proportional to 263,507.85, 395,040.24 and 213,463.89

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Solution

The fourth proportional to 263,507.85, 395,040.24 and 213,463.89 is: 320,016.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,507.85 : 395,040.24 = 213,463.89 : x
  2. Step 2: Convert to fraction form
    263,507.85/395,040.24 = 213,463.89/x
  3. Step 3: Cross multiply
    263,507.85x = 395,040.24 × 213,463.89
  4. Step 4: Simplify right side
    263,507.85x = 84,326,826,336.93
  5. Step 5: Solve for x
    x = 84,326,826,336.93/263,507.85
  6. Step 6: Final answer
    x = 320,016.37

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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.