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Finding the Fourth Proportional to 383,157.69, 528,757.62 and 213,391.80

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Solution

The fourth proportional to 383,157.69, 528,757.62 and 213,391.80 is: 294,480.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,157.69 : 528,757.62 = 213,391.80 : x
  2. Step 2: Convert to fraction form
    383,157.69/528,757.62 = 213,391.80/x
  3. Step 3: Cross multiply
    383,157.69x = 528,757.62 × 213,391.80
  4. Step 4: Simplify right side
    383,157.69x = 112,832,540,295.52
  5. Step 5: Solve for x
    x = 112,832,540,295.52/383,157.69
  6. Step 6: Final answer
    x = 294,480.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.