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Finding the Fourth Proportional to 308,138.40, 461,300.40 and 229,600.80

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Solution

The fourth proportional to 308,138.40, 461,300.40 and 229,600.80 is: 343,725.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,138.40 : 461,300.40 = 229,600.80 : x
  2. Step 2: Convert to fraction form
    308,138.40/461,300.40 = 229,600.80/x
  3. Step 3: Cross multiply
    308,138.40x = 461,300.40 × 229,600.80
  4. Step 4: Simplify right side
    308,138.40x = 105,914,940,880.32
  5. Step 5: Solve for x
    x = 105,914,940,880.32/308,138.40
  6. Step 6: Final answer
    x = 343,725.23

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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.