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Finding the Fourth Proportional to 490,093.80, 734,168.70 and 431,644.20

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Solution

The fourth proportional to 490,093.80, 734,168.70 and 431,644.20 is: 646,610.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,093.80 : 734,168.70 = 431,644.20 : x
  2. Step 2: Convert to fraction form
    490,093.80/734,168.70 = 431,644.20/x
  3. Step 3: Cross multiply
    490,093.80x = 734,168.70 × 431,644.20
  4. Step 4: Simplify right side
    490,093.80x = 316,899,661,176.54
  5. Step 5: Solve for x
    x = 316,899,661,176.54/490,093.80
  6. Step 6: Final answer
    x = 646,610.22

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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.