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Finding the Fourth Proportional to 298,744.80, 412,134.48 and 201,917.76

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Solution

The fourth proportional to 298,744.80, 412,134.48 and 201,917.76 is: 278,556.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,744.80 : 412,134.48 = 201,917.76 : x
  2. Step 2: Convert to fraction form
    298,744.80/412,134.48 = 201,917.76/x
  3. Step 3: Cross multiply
    298,744.80x = 412,134.48 × 201,917.76
  4. Step 4: Simplify right side
    298,744.80x = 83,217,271,020.36
  5. Step 5: Solve for x
    x = 83,217,271,020.36/298,744.80
  6. Step 6: Final answer
    x = 278,556.38

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1.5x scale

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.