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Finding the Fourth Proportional to 277,647.57, 383,087.79 and 161,291.82

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Solution

The fourth proportional to 277,647.57, 383,087.79 and 161,291.82 is: 222,544.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,647.57 : 383,087.79 = 161,291.82 : x
  2. Step 2: Convert to fraction form
    277,647.57/383,087.79 = 161,291.82/x
  3. Step 3: Cross multiply
    277,647.57x = 383,087.79 × 161,291.82
  4. Step 4: Simplify right side
    277,647.57x = 61,788,926,916.12
  5. Step 5: Solve for x
    x = 61,788,926,916.12/277,647.57
  6. Step 6: Final answer
    x = 222,544.46

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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.