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Finding the Fourth Proportional to 550,246.52, 825,062.23 and 280,205.78

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Solution

The fourth proportional to 550,246.52, 825,062.23 and 280,205.78 is: 420,152.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,246.52 : 825,062.23 = 280,205.78 : x
  2. Step 2: Convert to fraction form
    550,246.52/825,062.23 = 280,205.78/x
  3. Step 3: Cross multiply
    550,246.52x = 825,062.23 × 280,205.78
  4. Step 4: Simplify right side
    550,246.52x = 231,187,208,118.60
  5. Step 5: Solve for x
    x = 231,187,208,118.60/550,246.52
  6. Step 6: Final answer
    x = 420,152.06

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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.