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Finding the Fourth Proportional to 405,825, 560,040.42 and 226,977

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Solution

The fourth proportional to 405,825, 560,040.42 and 226,977 is: 313,229.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,825 : 560,040.42 = 226,977 : x
  2. Step 2: Convert to fraction form
    405,825/560,040.42 = 226,977/x
  3. Step 3: Cross multiply
    405,825x = 560,040.42 × 226,977
  4. Step 4: Simplify right side
    405,825x = 127,116,294,410.34
  5. Step 5: Solve for x
    x = 127,116,294,410.34/405,825
  6. Step 6: Final answer
    x = 313,229.33

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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.