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Finding the Fourth Proportional to 831,718.98, 1,147,773.42 and 449,745.78

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Solution

The fourth proportional to 831,718.98, 1,147,773.42 and 449,745.78 is: 620,649.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,718.98 : 1,147,773.42 = 449,745.78 : x
  2. Step 2: Convert to fraction form
    831,718.98/1,147,773.42 = 449,745.78/x
  3. Step 3: Cross multiply
    831,718.98x = 1,147,773.42 × 449,745.78
  4. Step 4: Simplify right side
    831,718.98x = 516,206,252,041.17
  5. Step 5: Solve for x
    x = 516,206,252,041.17/831,718.98
  6. Step 6: Final answer
    x = 620,649.84

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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.