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Finding the Fourth Proportional to 395,661.64, 546,012.31 and 214,378.48

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Solution

The fourth proportional to 395,661.64, 546,012.31 and 214,378.48 is: 295,841.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,661.64 : 546,012.31 = 214,378.48 : x
  2. Step 2: Convert to fraction form
    395,661.64/546,012.31 = 214,378.48/x
  3. Step 3: Cross multiply
    395,661.64x = 546,012.31 × 214,378.48
  4. Step 4: Simplify right side
    395,661.64x = 117,053,287,982.03
  5. Step 5: Solve for x
    x = 117,053,287,982.03/395,661.64
  6. Step 6: Final answer
    x = 295,841.89

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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.