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Finding the Fourth Proportional to 285,543.90, 428,014.43 and 95,824.38

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Solution

The fourth proportional to 285,543.90, 428,014.43 and 95,824.38 is: 143,635.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,543.90 : 428,014.43 = 95,824.38 : x
  2. Step 2: Convert to fraction form
    285,543.90/428,014.43 = 95,824.38/x
  3. Step 3: Cross multiply
    285,543.90x = 428,014.43 × 95,824.38
  4. Step 4: Simplify right side
    285,543.90x = 41,014,216,906.68
  5. Step 5: Solve for x
    x = 41,014,216,906.68/285,543.90
  6. Step 6: Final answer
    x = 143,635.42

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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.