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Finding the Fourth Proportional to 534,684.80, 737,745.32 and 305,168.72

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Solution

The fourth proportional to 534,684.80, 737,745.32 and 305,168.72 is: 421,064.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,684.80 : 737,745.32 = 305,168.72 : x
  2. Step 2: Convert to fraction form
    534,684.80/737,745.32 = 305,168.72/x
  3. Step 3: Cross multiply
    534,684.80x = 737,745.32 × 305,168.72
  4. Step 4: Simplify right side
    534,684.80x = 225,136,790,348.01
  5. Step 5: Solve for x
    x = 225,136,790,348.01/534,684.80
  6. Step 6: Final answer
    x = 421,064.51

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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.