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Finding the Fourth Proportional to 395,782.54, 546,173.72 and 214,492.88

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Solution

The fourth proportional to 395,782.54, 546,173.72 and 214,492.88 is: 295,996.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,782.54 : 546,173.72 = 214,492.88 : x
  2. Step 2: Convert to fraction form
    395,782.54/546,173.72 = 214,492.88/x
  3. Step 3: Cross multiply
    395,782.54x = 546,173.72 × 214,492.88
  4. Step 4: Simplify right side
    395,782.54x = 117,150,374,183.11
  5. Step 5: Solve for x
    x = 117,150,374,183.11/395,782.54
  6. Step 6: Final answer
    x = 295,996.82

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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.