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Finding the Fourth Proportional to 455,797.30, 682,711.80 and 396,748.30

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Solution

The fourth proportional to 455,797.30, 682,711.80 and 396,748.30 is: 594,265.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,797.30 : 682,711.80 = 396,748.30 : x
  2. Step 2: Convert to fraction form
    455,797.30/682,711.80 = 396,748.30/x
  3. Step 3: Cross multiply
    455,797.30x = 682,711.80 × 396,748.30
  4. Step 4: Simplify right side
    455,797.30x = 270,864,746,039.94
  5. Step 5: Solve for x
    x = 270,864,746,039.94/455,797.30
  6. Step 6: Final answer
    x = 594,265.80

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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.