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Finding the Fourth Proportional to 403,984.44, 557,473.45 and 222,687

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Solution

The fourth proportional to 403,984.44, 557,473.45 and 222,687 is: 307,294.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,984.44 : 557,473.45 = 222,687 : x
  2. Step 2: Convert to fraction form
    403,984.44/557,473.45 = 222,687/x
  3. Step 3: Cross multiply
    403,984.44x = 557,473.45 × 222,687
  4. Step 4: Simplify right side
    403,984.44x = 124,142,090,160.15
  5. Step 5: Solve for x
    x = 124,142,090,160.15/403,984.44
  6. Step 6: Final answer
    x = 307,294.24

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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.