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Finding the Fourth Proportional to 419,506.36, 628,696.37 and 229,680.23

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Solution

The fourth proportional to 419,506.36, 628,696.37 and 229,680.23 is: 344,212.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,506.36 : 628,696.37 = 229,680.23 : x
  2. Step 2: Convert to fraction form
    419,506.36/628,696.37 = 229,680.23/x
  3. Step 3: Cross multiply
    419,506.36x = 628,696.37 × 229,680.23
  4. Step 4: Simplify right side
    419,506.36x = 144,399,124,292.48
  5. Step 5: Solve for x
    x = 144,399,124,292.48/419,506.36
  6. Step 6: Final answer
    x = 344,212.00

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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.