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Finding the Fourth Proportional to 405,999.34, 608,722.22 and 205,933.95

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Solution

The fourth proportional to 405,999.34, 608,722.22 and 205,933.95 is: 308,760.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,999.34 : 608,722.22 = 205,933.95 : x
  2. Step 2: Convert to fraction form
    405,999.34/608,722.22 = 205,933.95/x
  3. Step 3: Cross multiply
    405,999.34x = 608,722.22 × 205,933.95
  4. Step 4: Simplify right side
    405,999.34x = 125,356,571,732.20
  5. Step 5: Solve for x
    x = 125,356,571,732.20/405,999.34
  6. Step 6: Final answer
    x = 308,760.53

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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.