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Finding the Fourth Proportional to 403,876.90, 557,347.53 and 222,589

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Solution

The fourth proportional to 403,876.90, 557,347.53 and 222,589 is: 307,171.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,876.90 : 557,347.53 = 222,589 : x
  2. Step 2: Convert to fraction form
    403,876.90/557,347.53 = 222,589/x
  3. Step 3: Cross multiply
    403,876.90x = 557,347.53 × 222,589
  4. Step 4: Simplify right side
    403,876.90x = 124,059,429,355.17
  5. Step 5: Solve for x
    x = 124,059,429,355.17/403,876.90
  6. Step 6: Final answer
    x = 307,171.39

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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.