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Finding the Fourth Proportional to 395,483.97, 545,765.13 and 214,191.75

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Solution

The fourth proportional to 395,483.97, 545,765.13 and 214,191.75 is: 295,583.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,483.97 : 545,765.13 = 214,191.75 : x
  2. Step 2: Convert to fraction form
    395,483.97/545,765.13 = 214,191.75/x
  3. Step 3: Cross multiply
    395,483.97x = 545,765.13 × 214,191.75
  4. Step 4: Simplify right side
    395,483.97x = 116,898,388,283.68
  5. Step 5: Solve for x
    x = 116,898,388,283.68/395,483.97
  6. Step 6: Final answer
    x = 295,583.13

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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.