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Finding the Fourth Proportional to 394,645.57, 591,869.84 and 154,808.21

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Solution

The fourth proportional to 394,645.57, 591,869.84 and 154,808.21 is: 232,173.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,645.57 : 591,869.84 = 154,808.21 : x
  2. Step 2: Convert to fraction form
    394,645.57/591,869.84 = 154,808.21/x
  3. Step 3: Cross multiply
    394,645.57x = 591,869.84 × 154,808.21
  4. Step 4: Simplify right side
    394,645.57x = 91,626,311,189.02
  5. Step 5: Solve for x
    x = 91,626,311,189.02/394,645.57
  6. Step 6: Final answer
    x = 232,173.67

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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.