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Finding the Fourth Proportional to 534,638.82, 737,707.80 and 305,091.30

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Solution

The fourth proportional to 534,638.82, 737,707.80 and 305,091.30 is: 420,972.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,638.82 : 737,707.80 = 305,091.30 : x
  2. Step 2: Convert to fraction form
    534,638.82/737,707.80 = 305,091.30/x
  3. Step 3: Cross multiply
    534,638.82x = 737,707.80 × 305,091.30
  4. Step 4: Simplify right side
    534,638.82x = 225,068,231,722.14
  5. Step 5: Solve for x
    x = 225,068,231,722.14/534,638.82
  6. Step 6: Final answer
    x = 420,972.48

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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.