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Finding the Fourth Proportional to 312,241.88, 430,788.06 and 203,296.47

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Solution

The fourth proportional to 312,241.88, 430,788.06 and 203,296.47 is: 280,480.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,241.88 : 430,788.06 = 203,296.47 : x
  2. Step 2: Convert to fraction form
    312,241.88/430,788.06 = 203,296.47/x
  3. Step 3: Cross multiply
    312,241.88x = 430,788.06 × 203,296.47
  4. Step 4: Simplify right side
    312,241.88x = 87,577,691,916.15
  5. Step 5: Solve for x
    x = 87,577,691,916.15/312,241.88
  6. Step 6: Final answer
    x = 280,480.29

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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.