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Finding the Fourth Proportional to 403,983.44, 557,472.07 and 222,686

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Solution

The fourth proportional to 403,983.44, 557,472.07 and 222,686 is: 307,292.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,983.44 : 557,472.07 = 222,686 : x
  2. Step 2: Convert to fraction form
    403,983.44/557,472.07 = 222,686/x
  3. Step 3: Cross multiply
    403,983.44x = 557,472.07 × 222,686
  4. Step 4: Simplify right side
    403,983.44x = 124,141,225,380.02
  5. Step 5: Solve for x
    x = 124,141,225,380.02/403,983.44
  6. Step 6: Final answer
    x = 307,292.86

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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.