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Finding the Fourth Proportional to 441,313.68, 661,885.56 and 171,441.48

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Solution

The fourth proportional to 441,313.68, 661,885.56 and 171,441.48 is: 257,129.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,313.68 : 661,885.56 = 171,441.48 : x
  2. Step 2: Convert to fraction form
    441,313.68/661,885.56 = 171,441.48/x
  3. Step 3: Cross multiply
    441,313.68x = 661,885.56 × 171,441.48
  4. Step 4: Simplify right side
    441,313.68x = 113,474,639,997.03
  5. Step 5: Solve for x
    x = 113,474,639,997.03/441,313.68
  6. Step 6: Final answer
    x = 257,129.21

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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.