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Finding the Fourth Proportional to 313,957.40, 471,195.30 and 145,736.60

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Solution

The fourth proportional to 313,957.40, 471,195.30 and 145,736.60 is: 218,725.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,957.40 : 471,195.30 = 145,736.60 : x
  2. Step 2: Convert to fraction form
    313,957.40/471,195.30 = 145,736.60/x
  3. Step 3: Cross multiply
    313,957.40x = 471,195.30 × 145,736.60
  4. Step 4: Simplify right side
    313,957.40x = 68,670,400,957.98
  5. Step 5: Solve for x
    x = 68,670,400,957.98/313,957.40
  6. Step 6: Final answer
    x = 218,725.22

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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.