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Finding the Fourth Proportional to 367,821.06, 507,653.22 and 306,469.90

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Solution

The fourth proportional to 367,821.06, 507,653.22 and 306,469.90 is: 422,978.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,821.06 : 507,653.22 = 306,469.90 : x
  2. Step 2: Convert to fraction form
    367,821.06/507,653.22 = 306,469.90/x
  3. Step 3: Cross multiply
    367,821.06x = 507,653.22 × 306,469.90
  4. Step 4: Simplify right side
    367,821.06x = 155,580,431,568.08
  5. Step 5: Solve for x
    x = 155,580,431,568.08/367,821.06
  6. Step 6: Final answer
    x = 422,978.59

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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.