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Finding the Fourth Proportional to 414,147.10, 621,220.65 and 366,907.90

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Solution

The fourth proportional to 414,147.10, 621,220.65 and 366,907.90 is: 550,361.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,147.10 : 621,220.65 = 366,907.90 : x
  2. Step 2: Convert to fraction form
    414,147.10/621,220.65 = 366,907.90/x
  3. Step 3: Cross multiply
    414,147.10x = 621,220.65 × 366,907.90
  4. Step 4: Simplify right side
    414,147.10x = 227,930,764,128.14
  5. Step 5: Solve for x
    x = 227,930,764,128.14/414,147.10
  6. Step 6: Final answer
    x = 550,361.85

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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.