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Finding the Fourth Proportional to 418,794.66, 628,262.10 and 328,833.80

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Solution

The fourth proportional to 418,794.66, 628,262.10 and 328,833.80 is: 493,305.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,794.66 : 628,262.10 = 328,833.80 : x
  2. Step 2: Convert to fraction form
    418,794.66/628,262.10 = 328,833.80/x
  3. Step 3: Cross multiply
    418,794.66x = 628,262.10 × 328,833.80
  4. Step 4: Simplify right side
    418,794.66x = 206,593,813,738.98
  5. Step 5: Solve for x
    x = 206,593,813,738.98/418,794.66
  6. Step 6: Final answer
    x = 493,305.75

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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.