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Finding the Fourth Proportional to 481,234.68, 664,009.74 and 302,283

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Solution

The fourth proportional to 481,234.68, 664,009.74 and 302,283 is: 417,091.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,234.68 : 664,009.74 = 302,283 : x
  2. Step 2: Convert to fraction form
    481,234.68/664,009.74 = 302,283/x
  3. Step 3: Cross multiply
    481,234.68x = 664,009.74 × 302,283
  4. Step 4: Simplify right side
    481,234.68x = 200,718,856,236.42
  5. Step 5: Solve for x
    x = 200,718,856,236.42/481,234.68
  6. Step 6: Final answer
    x = 417,091.42

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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.