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Finding the Fourth Proportional to 419,812.40, 629,718.60 and 270,513.20

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Solution

The fourth proportional to 419,812.40, 629,718.60 and 270,513.20 is: 405,769.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,812.40 : 629,718.60 = 270,513.20 : x
  2. Step 2: Convert to fraction form
    419,812.40/629,718.60 = 270,513.20/x
  3. Step 3: Cross multiply
    419,812.40x = 629,718.60 × 270,513.20
  4. Step 4: Simplify right side
    419,812.40x = 170,347,193,585.52
  5. Step 5: Solve for x
    x = 170,347,193,585.52/419,812.40
  6. Step 6: Final answer
    x = 405,769.80

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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.