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Finding the Fourth Proportional to 613,727.22, 920,589 and 276,372.90

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Solution

The fourth proportional to 613,727.22, 920,589 and 276,372.90 is: 414,558.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,727.22 : 920,589 = 276,372.90 : x
  2. Step 2: Convert to fraction form
    613,727.22/920,589 = 276,372.90/x
  3. Step 3: Cross multiply
    613,727.22x = 920,589 × 276,372.90
  4. Step 4: Simplify right side
    613,727.22x = 254,425,851,638.10
  5. Step 5: Solve for x
    x = 254,425,851,638.10/613,727.22
  6. Step 6: Final answer
    x = 414,558.53

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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.