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Finding the Fourth Proportional to 285,892.03, 428,748.54 and 103,499.82

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Solution

The fourth proportional to 285,892.03, 428,748.54 and 103,499.82 is: 155,217.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,892.03 : 428,748.54 = 103,499.82 : x
  2. Step 2: Convert to fraction form
    285,892.03/428,748.54 = 103,499.82/x
  3. Step 3: Cross multiply
    285,892.03x = 428,748.54 × 103,499.82
  4. Step 4: Simplify right side
    285,892.03x = 44,375,396,715.26
  5. Step 5: Solve for x
    x = 44,375,396,715.26/285,892.03
  6. Step 6: Final answer
    x = 155,217.33

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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.