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Finding the Fourth Proportional to 289,494.20, 434,183.70 and 139,734.20

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Solution

The fourth proportional to 289,494.20, 434,183.70 and 139,734.20 is: 209,573.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,494.20 : 434,183.70 = 139,734.20 : x
  2. Step 2: Convert to fraction form
    289,494.20/434,183.70 = 139,734.20/x
  3. Step 3: Cross multiply
    289,494.20x = 434,183.70 × 139,734.20
  4. Step 4: Simplify right side
    289,494.20x = 60,670,311,972.54
  5. Step 5: Solve for x
    x = 60,670,311,972.54/289,494.20
  6. Step 6: Final answer
    x = 209,573.50

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1.5x scale

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.