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Finding the Fourth Proportional to 383,716.44, 575,769.06 and 258,795

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Solution

The fourth proportional to 383,716.44, 575,769.06 and 258,795 is: 388,323.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,716.44 : 575,769.06 = 258,795 : x
  2. Step 2: Convert to fraction form
    383,716.44/575,769.06 = 258,795/x
  3. Step 3: Cross multiply
    383,716.44x = 575,769.06 × 258,795
  4. Step 4: Simplify right side
    383,716.44x = 149,006,153,882.70
  5. Step 5: Solve for x
    x = 149,006,153,882.70/383,716.44
  6. Step 6: Final answer
    x = 388,323.61

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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.