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Finding the Fourth Proportional to 405,609.21, 608,367.33 and 106,118.69

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Solution

The fourth proportional to 405,609.21, 608,367.33 and 106,118.69 is: 159,165.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,609.21 : 608,367.33 = 106,118.69 : x
  2. Step 2: Convert to fraction form
    405,609.21/608,367.33 = 106,118.69/x
  3. Step 3: Cross multiply
    405,609.21x = 608,367.33 × 106,118.69
  4. Step 4: Simplify right side
    405,609.21x = 64,559,141,056.56
  5. Step 5: Solve for x
    x = 64,559,141,056.56/405,609.21
  6. Step 6: Final answer
    x = 159,165.87

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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.