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Finding the Fourth Proportional to 323,020.87, 445,760.94 and 177,825.47

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Solution

The fourth proportional to 323,020.87, 445,760.94 and 177,825.47 is: 245,394.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,020.87 : 445,760.94 = 177,825.47 : x
  2. Step 2: Convert to fraction form
    323,020.87/445,760.94 = 177,825.47/x
  3. Step 3: Cross multiply
    323,020.87x = 445,760.94 × 177,825.47
  4. Step 4: Simplify right side
    323,020.87x = 79,267,650,488.87
  5. Step 5: Solve for x
    x = 79,267,650,488.87/323,020.87
  6. Step 6: Final answer
    x = 245,394.82

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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.