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Finding the Fourth Proportional to 285,467.14, 428,207.64 and 95,930.20

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Solution

The fourth proportional to 285,467.14, 428,207.64 and 95,930.20 is: 143,897.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,467.14 : 428,207.64 = 95,930.20 : x
  2. Step 2: Convert to fraction form
    285,467.14/428,207.64 = 95,930.20/x
  3. Step 3: Cross multiply
    285,467.14x = 428,207.64 × 95,930.20
  4. Step 4: Simplify right side
    285,467.14x = 41,078,044,546.73
  5. Step 5: Solve for x
    x = 41,078,044,546.73/285,467.14
  6. Step 6: Final answer
    x = 143,897.63

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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.