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Finding the Fourth Proportional to 476,447.81, 713,999.81 and 263,311.70

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Solution

The fourth proportional to 476,447.81, 713,999.81 and 263,311.70 is: 394,596.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,447.81 : 713,999.81 = 263,311.70 : x
  2. Step 2: Convert to fraction form
    476,447.81/713,999.81 = 263,311.70/x
  3. Step 3: Cross multiply
    476,447.81x = 713,999.81 × 263,311.70
  4. Step 4: Simplify right side
    476,447.81x = 188,004,498,884.22
  5. Step 5: Solve for x
    x = 188,004,498,884.22/476,447.81
  6. Step 6: Final answer
    x = 394,596.21

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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.