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Finding the Fourth Proportional to 682,403.76, 940,720.32 and 477,810

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Solution

The fourth proportional to 682,403.76, 940,720.32 and 477,810 is: 658,679.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,403.76 : 940,720.32 = 477,810 : x
  2. Step 2: Convert to fraction form
    682,403.76/940,720.32 = 477,810/x
  3. Step 3: Cross multiply
    682,403.76x = 940,720.32 × 477,810
  4. Step 4: Simplify right side
    682,403.76x = 449,485,576,099.20
  5. Step 5: Solve for x
    x = 449,485,576,099.20/682,403.76
  6. Step 6: Final answer
    x = 658,679.81

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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.