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Finding the Fourth Proportional to 664,206.30, 996,309.45 and 397,829.70

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Solution

The fourth proportional to 664,206.30, 996,309.45 and 397,829.70 is: 596,744.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,206.30 : 996,309.45 = 397,829.70 : x
  2. Step 2: Convert to fraction form
    664,206.30/996,309.45 = 397,829.70/x
  3. Step 3: Cross multiply
    664,206.30x = 996,309.45 × 397,829.70
  4. Step 4: Simplify right side
    664,206.30x = 396,361,489,600.67
  5. Step 5: Solve for x
    x = 396,361,489,600.67/664,206.30
  6. Step 6: Final answer
    x = 596,744.55

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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.