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Finding the Fourth Proportional to 285,458.80, 393,975.10 and 164,576.46

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Solution

The fourth proportional to 285,458.80, 393,975.10 and 164,576.46 is: 227,139.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,458.80 : 393,975.10 = 164,576.46 : x
  2. Step 2: Convert to fraction form
    285,458.80/393,975.10 = 164,576.46/x
  3. Step 3: Cross multiply
    285,458.80x = 393,975.10 × 164,576.46
  4. Step 4: Simplify right side
    285,458.80x = 64,839,027,286.15
  5. Step 5: Solve for x
    x = 64,839,027,286.15/285,458.80
  6. Step 6: Final answer
    x = 227,139.71

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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.