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Finding the Fourth Proportional to 401,354.36, 553,893.92 and 222,506.36

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Solution

The fourth proportional to 401,354.36, 553,893.92 and 222,506.36 is: 307,072.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,354.36 : 553,893.92 = 222,506.36 : x
  2. Step 2: Convert to fraction form
    401,354.36/553,893.92 = 222,506.36/x
  3. Step 3: Cross multiply
    401,354.36x = 553,893.92 × 222,506.36
  4. Step 4: Simplify right side
    401,354.36x = 123,244,919,965.33
  5. Step 5: Solve for x
    x = 123,244,919,965.33/401,354.36
  6. Step 6: Final answer
    x = 307,072.58

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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.