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Finding the Fourth Proportional to 383,047.82, 574,172.59 and 214,320.77

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Solution

The fourth proportional to 383,047.82, 574,172.59 and 214,320.77 is: 321,257.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,047.82 : 574,172.59 = 214,320.77 : x
  2. Step 2: Convert to fraction form
    383,047.82/574,172.59 = 214,320.77/x
  3. Step 3: Cross multiply
    383,047.82x = 574,172.59 × 214,320.77
  4. Step 4: Simplify right side
    383,047.82x = 123,057,110,530.09
  5. Step 5: Solve for x
    x = 123,057,110,530.09/383,047.82
  6. Step 6: Final answer
    x = 321,257.83

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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.