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Finding the Fourth Proportional to 506,786.46, 699,379.83 and 280,453.02

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Solution

The fourth proportional to 506,786.46, 699,379.83 and 280,453.02 is: 387,033.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,786.46 : 699,379.83 = 280,453.02 : x
  2. Step 2: Convert to fraction form
    506,786.46/699,379.83 = 280,453.02/x
  3. Step 3: Cross multiply
    506,786.46x = 699,379.83 × 280,453.02
  4. Step 4: Simplify right side
    506,786.46x = 196,143,185,450.59
  5. Step 5: Solve for x
    x = 196,143,185,450.59/506,786.46
  6. Step 6: Final answer
    x = 387,033.20

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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.