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Finding the Fourth Proportional to 396,189.68, 546,743.40 and 226,429.52

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Solution

The fourth proportional to 396,189.68, 546,743.40 and 226,429.52 is: 312,473.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,189.68 : 546,743.40 = 226,429.52 : x
  2. Step 2: Convert to fraction form
    396,189.68/546,743.40 = 226,429.52/x
  3. Step 3: Cross multiply
    396,189.68x = 546,743.40 × 226,429.52
  4. Step 4: Simplify right side
    396,189.68x = 123,798,845,625.17
  5. Step 5: Solve for x
    x = 123,798,845,625.17/396,189.68
  6. Step 6: Final answer
    x = 312,473.68

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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.