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Finding the Fourth Proportional to 298,735.80, 412,250.40 and 162,771.36

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Solution

The fourth proportional to 298,735.80, 412,250.40 and 162,771.36 is: 224,621.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,735.80 : 412,250.40 = 162,771.36 : x
  2. Step 2: Convert to fraction form
    298,735.80/412,250.40 = 162,771.36/x
  3. Step 3: Cross multiply
    298,735.80x = 412,250.40 × 162,771.36
  4. Step 4: Simplify right side
    298,735.80x = 67,102,558,268.54
  5. Step 5: Solve for x
    x = 67,102,558,268.54/298,735.80
  6. Step 6: Final answer
    x = 224,621.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.