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Finding the Fourth Proportional to 383,047.50, 574,571.25 and 120,391.50

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Solution

The fourth proportional to 383,047.50, 574,571.25 and 120,391.50 is: 180,587.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,047.50 : 574,571.25 = 120,391.50 : x
  2. Step 2: Convert to fraction form
    383,047.50/574,571.25 = 120,391.50/x
  3. Step 3: Cross multiply
    383,047.50x = 574,571.25 × 120,391.50
  4. Step 4: Simplify right side
    383,047.50x = 69,173,494,644.38
  5. Step 5: Solve for x
    x = 69,173,494,644.38/383,047.50
  6. Step 6: Final answer
    x = 180,587.25

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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.