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Finding the Fourth Proportional to 405,645.90, 608,198.56 and 223,362.57

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Solution

The fourth proportional to 405,645.90, 608,198.56 and 223,362.57 is: 334,895.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,645.90 : 608,198.56 = 223,362.57 : x
  2. Step 2: Convert to fraction form
    405,645.90/608,198.56 = 223,362.57/x
  3. Step 3: Cross multiply
    405,645.90x = 608,198.56 × 223,362.57
  4. Step 4: Simplify right side
    405,645.90x = 135,848,791,849.16
  5. Step 5: Solve for x
    x = 135,848,791,849.16/405,645.90
  6. Step 6: Final answer
    x = 334,895.02

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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.