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Finding the Fourth Proportional to 496,531.30, 685,122.54 and 324,403.48

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Solution

The fourth proportional to 496,531.30, 685,122.54 and 324,403.48 is: 447,617.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,531.30 : 685,122.54 = 324,403.48 : x
  2. Step 2: Convert to fraction form
    496,531.30/685,122.54 = 324,403.48/x
  3. Step 3: Cross multiply
    496,531.30x = 685,122.54 × 324,403.48
  4. Step 4: Simplify right side
    496,531.30x = 222,256,136,202.44
  5. Step 5: Solve for x
    x = 222,256,136,202.44/496,531.30
  6. Step 6: Final answer
    x = 447,617.57

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1.5x scale

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.