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Finding the Fourth Proportional to 427,576.64, 590,015.57 and 289,474.64

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Solution

The fourth proportional to 427,576.64, 590,015.57 and 289,474.64 is: 399,447.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,576.64 : 590,015.57 = 289,474.64 : x
  2. Step 2: Convert to fraction form
    427,576.64/590,015.57 = 289,474.64/x
  3. Step 3: Cross multiply
    427,576.64x = 590,015.57 × 289,474.64
  4. Step 4: Simplify right side
    427,576.64x = 170,794,540,322.69
  5. Step 5: Solve for x
    x = 170,794,540,322.69/427,576.64
  6. Step 6: Final answer
    x = 399,447.79

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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.