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Finding the Fourth Proportional to 419,169.63, 628,748.22 and 103,626.45

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Solution

The fourth proportional to 419,169.63, 628,748.22 and 103,626.45 is: 155,438.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,169.63 : 628,748.22 = 103,626.45 : x
  2. Step 2: Convert to fraction form
    419,169.63/628,748.22 = 103,626.45/x
  3. Step 3: Cross multiply
    419,169.63x = 628,748.22 × 103,626.45
  4. Step 4: Simplify right side
    419,169.63x = 65,154,945,982.42
  5. Step 5: Solve for x
    x = 65,154,945,982.42/419,169.63
  6. Step 6: Final answer
    x = 155,438.14

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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.