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Finding the Fourth Proportional to 419,146.96, 628,765.20 and 179,285.67

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Solution

The fourth proportional to 419,146.96, 628,765.20 and 179,285.67 is: 268,947.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,146.96 : 628,765.20 = 179,285.67 : x
  2. Step 2: Convert to fraction form
    419,146.96/628,765.20 = 179,285.67/x
  3. Step 3: Cross multiply
    419,146.96x = 628,765.20 × 179,285.67
  4. Step 4: Simplify right side
    419,146.96x = 112,728,590,154.68
  5. Step 5: Solve for x
    x = 112,728,590,154.68/419,146.96
  6. Step 6: Final answer
    x = 268,947.65

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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.