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Finding the Fourth Proportional to 414,756.45, 621,556.31 and 313,471.36

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Solution

The fourth proportional to 414,756.45, 621,556.31 and 313,471.36 is: 469,769.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,756.45 : 621,556.31 = 313,471.36 : x
  2. Step 2: Convert to fraction form
    414,756.45/621,556.31 = 313,471.36/x
  3. Step 3: Cross multiply
    414,756.45x = 621,556.31 × 313,471.36
  4. Step 4: Simplify right side
    414,756.45x = 194,840,099,876.65
  5. Step 5: Solve for x
    x = 194,840,099,876.65/414,756.45
  6. Step 6: Final answer
    x = 469,769.91

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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.