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Finding the Fourth Proportional to 383,049, 574,573.50 and 120,393

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Solution

The fourth proportional to 383,049, 574,573.50 and 120,393 is: 180,589.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,049 : 574,573.50 = 120,393 : x
  2. Step 2: Convert to fraction form
    383,049/574,573.50 = 120,393/x
  3. Step 3: Cross multiply
    383,049x = 574,573.50 × 120,393
  4. Step 4: Simplify right side
    383,049x = 69,174,627,385.50
  5. Step 5: Solve for x
    x = 69,174,627,385.50/383,049
  6. Step 6: Final answer
    x = 180,589.50

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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.