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Finding the Fourth Proportional to 523,910.94, 785,306.85 and 298,786.65

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Solution

The fourth proportional to 523,910.94, 785,306.85 and 298,786.65 is: 447,860.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,910.94 : 785,306.85 = 298,786.65 : x
  2. Step 2: Convert to fraction form
    523,910.94/785,306.85 = 298,786.65/x
  3. Step 3: Cross multiply
    523,910.94x = 785,306.85 × 298,786.65
  4. Step 4: Simplify right side
    523,910.94x = 234,639,202,933.55
  5. Step 5: Solve for x
    x = 234,639,202,933.55/523,910.94
  6. Step 6: Final answer
    x = 447,860.86

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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.