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Finding the Fourth Proportional to 434,912.70, 652,369.05 and 419,166.30

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Solution

The fourth proportional to 434,912.70, 652,369.05 and 419,166.30 is: 628,749.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,912.70 : 652,369.05 = 419,166.30 : x
  2. Step 2: Convert to fraction form
    434,912.70/652,369.05 = 419,166.30/x
  3. Step 3: Cross multiply
    434,912.70x = 652,369.05 × 419,166.30
  4. Step 4: Simplify right side
    434,912.70x = 273,451,120,923.02
  5. Step 5: Solve for x
    x = 273,451,120,923.02/434,912.70
  6. Step 6: Final answer
    x = 628,749.45

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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.