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Finding the Fourth Proportional to 396,130, 546,659.68 and 214,841.84

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Solution

The fourth proportional to 396,130, 546,659.68 and 214,841.84 is: 296,481.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,130 : 546,659.68 = 214,841.84 : x
  2. Step 2: Convert to fraction form
    396,130/546,659.68 = 214,841.84/x
  3. Step 3: Cross multiply
    396,130x = 546,659.68 × 214,841.84
  4. Step 4: Simplify right side
    396,130x = 117,445,371,505.01
  5. Step 5: Solve for x
    x = 117,445,371,505.01/396,130
  6. Step 6: Final answer
    x = 296,481.89

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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.