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Finding the Fourth Proportional to 419,150.96, 628,771.20 and 179,289.67

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Solution

The fourth proportional to 419,150.96, 628,771.20 and 179,289.67 is: 268,953.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,150.96 : 628,771.20 = 179,289.67 : x
  2. Step 2: Convert to fraction form
    419,150.96/628,771.20 = 179,289.67/x
  3. Step 3: Cross multiply
    419,150.96x = 628,771.20 × 179,289.67
  4. Step 4: Simplify right side
    419,150.96x = 112,732,180,953.50
  5. Step 5: Solve for x
    x = 112,732,180,953.50/419,150.96
  6. Step 6: Final answer
    x = 268,953.65

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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.