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Finding the Fourth Proportional to 534,378.70, 737,942.16 and 343,723.06

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Solution

The fourth proportional to 534,378.70, 737,942.16 and 343,723.06 is: 474,659.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,378.70 : 737,942.16 = 343,723.06 : x
  2. Step 2: Convert to fraction form
    534,378.70/737,942.16 = 343,723.06/x
  3. Step 3: Cross multiply
    534,378.70x = 737,942.16 × 343,723.06
  4. Step 4: Simplify right side
    534,378.70x = 253,647,737,338.21
  5. Step 5: Solve for x
    x = 253,647,737,338.21/534,378.70
  6. Step 6: Final answer
    x = 474,659.15

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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.