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Finding the Fourth Proportional to 471,003.46, 649,655.44 and 309,806.98

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Solution

The fourth proportional to 471,003.46, 649,655.44 and 309,806.98 is: 427,317.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,003.46 : 649,655.44 = 309,806.98 : x
  2. Step 2: Convert to fraction form
    471,003.46/649,655.44 = 309,806.98/x
  3. Step 3: Cross multiply
    471,003.46x = 649,655.44 × 309,806.98
  4. Step 4: Simplify right side
    471,003.46x = 201,267,789,906.97
  5. Step 5: Solve for x
    x = 201,267,789,906.97/471,003.46
  6. Step 6: Final answer
    x = 427,317.01

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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.