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Finding the Fourth Proportional to 405,997.40, 608,952.36 and 106,508

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Solution

The fourth proportional to 405,997.40, 608,952.36 and 106,508 is: 159,750.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,997.40 : 608,952.36 = 106,508 : x
  2. Step 2: Convert to fraction form
    405,997.40/608,952.36 = 106,508/x
  3. Step 3: Cross multiply
    405,997.40x = 608,952.36 × 106,508
  4. Step 4: Simplify right side
    405,997.40x = 64,858,297,958.88
  5. Step 5: Solve for x
    x = 64,858,297,958.88/405,997.40
  6. Step 6: Final answer
    x = 159,750.53

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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.