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Finding the Fourth Proportional to 405,414.64, 559,487.96 and 269,213.73

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Solution

The fourth proportional to 405,414.64, 559,487.96 and 269,213.73 is: 371,525.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,414.64 : 559,487.96 = 269,213.73 : x
  2. Step 2: Convert to fraction form
    405,414.64/559,487.96 = 269,213.73/x
  3. Step 3: Cross multiply
    405,414.64x = 559,487.96 × 269,213.73
  4. Step 4: Simplify right side
    405,414.64x = 150,621,840,601.69
  5. Step 5: Solve for x
    x = 150,621,840,601.69/405,414.64
  6. Step 6: Final answer
    x = 371,525.41

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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.