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Finding the Fourth Proportional to 405,728.43, 608,648.01 and 169,015.75

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Solution

The fourth proportional to 405,728.43, 608,648.01 and 169,015.75 is: 253,546.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,728.43 : 608,648.01 = 169,015.75 : x
  2. Step 2: Convert to fraction form
    405,728.43/608,648.01 = 169,015.75/x
  3. Step 3: Cross multiply
    405,728.43x = 608,648.01 × 169,015.75
  4. Step 4: Simplify right side
    405,728.43x = 102,871,099,896.16
  5. Step 5: Solve for x
    x = 102,871,099,896.16/405,728.43
  6. Step 6: Final answer
    x = 253,546.69

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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.