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Finding the Fourth Proportional to 403,992, 557,508.78 and 222,706.80

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Solution

The fourth proportional to 403,992, 557,508.78 and 222,706.80 is: 307,335.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,992 : 557,508.78 = 222,706.80 : x
  2. Step 2: Convert to fraction form
    403,992/557,508.78 = 222,706.80/x
  3. Step 3: Cross multiply
    403,992x = 557,508.78 × 222,706.80
  4. Step 4: Simplify right side
    403,992x = 124,160,996,365.70
  5. Step 5: Solve for x
    x = 124,160,996,365.70/403,992
  6. Step 6: Final answer
    x = 307,335.28

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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.