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Finding the Fourth Proportional to 405,993.90, 608,947.10 and 106,504.50

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Solution

The fourth proportional to 405,993.90, 608,947.10 and 106,504.50 is: 159,745.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,993.90 : 608,947.10 = 106,504.50 : x
  2. Step 2: Convert to fraction form
    405,993.90/608,947.10 = 106,504.50/x
  3. Step 3: Cross multiply
    405,993.90x = 608,947.10 × 106,504.50
  4. Step 4: Simplify right side
    405,993.90x = 64,855,606,411.95
  5. Step 5: Solve for x
    x = 64,855,606,411.95/405,993.90
  6. Step 6: Final answer
    x = 159,745.27

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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.