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Finding the Fourth Proportional to 285,636.38, 428,514.52 and 85,971.38

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Solution

The fourth proportional to 285,636.38, 428,514.52 and 85,971.38 is: 128,975.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,636.38 : 428,514.52 = 85,971.38 : x
  2. Step 2: Convert to fraction form
    285,636.38/428,514.52 = 85,971.38/x
  3. Step 3: Cross multiply
    285,636.38x = 428,514.52 × 85,971.38
  4. Step 4: Simplify right side
    285,636.38x = 36,839,984,634.44
  5. Step 5: Solve for x
    x = 36,839,984,634.44/285,636.38
  6. Step 6: Final answer
    x = 128,975.11

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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.