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Finding the Fourth Proportional to 496,626.25, 685,135.20 and 312,538.72

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Solution

The fourth proportional to 496,626.25, 685,135.20 and 312,538.72 is: 431,171.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,626.25 : 685,135.20 = 312,538.72 : x
  2. Step 2: Convert to fraction form
    496,626.25/685,135.20 = 312,538.72/x
  3. Step 3: Cross multiply
    496,626.25x = 685,135.20 × 312,538.72
  4. Step 4: Simplify right side
    496,626.25x = 214,131,274,090.80
  5. Step 5: Solve for x
    x = 214,131,274,090.80/496,626.25
  6. Step 6: Final answer
    x = 431,171.88

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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.