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Finding the Fourth Proportional to 285,930.96, 428,218.44 and 226,575.76

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Solution

The fourth proportional to 285,930.96, 428,218.44 and 226,575.76 is: 339,326.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,930.96 : 428,218.44 = 226,575.76 : x
  2. Step 2: Convert to fraction form
    285,930.96/428,218.44 = 226,575.76/x
  3. Step 3: Cross multiply
    285,930.96x = 428,218.44 × 226,575.76
  4. Step 4: Simplify right side
    285,930.96x = 97,023,918,489.01
  5. Step 5: Solve for x
    x = 97,023,918,489.01/285,930.96
  6. Step 6: Final answer
    x = 339,326.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.