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Finding the Fourth Proportional to 395,511.96, 545,805.16 and 214,223.44

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Solution

The fourth proportional to 395,511.96, 545,805.16 and 214,223.44 is: 295,627.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,511.96 : 545,805.16 = 214,223.44 : x
  2. Step 2: Convert to fraction form
    395,511.96/545,805.16 = 214,223.44/x
  3. Step 3: Cross multiply
    395,511.96x = 545,805.16 × 214,223.44
  4. Step 4: Simplify right side
    395,511.96x = 116,924,258,944.95
  5. Step 5: Solve for x
    x = 116,924,258,944.95/395,511.96
  6. Step 6: Final answer
    x = 295,627.62

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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.