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Finding the Fourth Proportional to 455,829.30, 682,759.80 and 396,780.30

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Solution

The fourth proportional to 455,829.30, 682,759.80 and 396,780.30 is: 594,313.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,829.30 : 682,759.80 = 396,780.30 : x
  2. Step 2: Convert to fraction form
    455,829.30/682,759.80 = 396,780.30/x
  3. Step 3: Cross multiply
    455,829.30x = 682,759.80 × 396,780.30
  4. Step 4: Simplify right side
    455,829.30x = 270,905,638,271.94
  5. Step 5: Solve for x
    x = 270,905,638,271.94/455,829.30
  6. Step 6: Final answer
    x = 594,313.79

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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.