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Finding the Fourth Proportional to 285,453.73, 428,164.15 and 85,769.89

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Solution

The fourth proportional to 285,453.73, 428,164.15 and 85,769.89 is: 128,649.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,453.73 : 428,164.15 = 85,769.89 : x
  2. Step 2: Convert to fraction form
    285,453.73/428,164.15 = 85,769.89/x
  3. Step 3: Cross multiply
    285,453.73x = 428,164.15 × 85,769.89
  4. Step 4: Simplify right side
    285,453.73x = 36,723,592,047.44
  5. Step 5: Solve for x
    x = 36,723,592,047.44/285,453.73
  6. Step 6: Final answer
    x = 128,649.89

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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.