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Finding the Fourth Proportional to 414,469.80, 621,704.70 and 381,810.60

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Solution

The fourth proportional to 414,469.80, 621,704.70 and 381,810.60 is: 572,715.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,469.80 : 621,704.70 = 381,810.60 : x
  2. Step 2: Convert to fraction form
    414,469.80/621,704.70 = 381,810.60/x
  3. Step 3: Cross multiply
    414,469.80x = 621,704.70 × 381,810.60
  4. Step 4: Simplify right side
    414,469.80x = 237,373,444,529.82
  5. Step 5: Solve for x
    x = 237,373,444,529.82/414,469.80
  6. Step 6: Final answer
    x = 572,715.90

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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.