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Finding the Fourth Proportional to 285,841.86, 428,723.06 and 200,193.26

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Solution

The fourth proportional to 285,841.86, 428,723.06 and 200,193.26 is: 300,262.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,841.86 : 428,723.06 = 200,193.26 : x
  2. Step 2: Convert to fraction form
    285,841.86/428,723.06 = 200,193.26/x
  3. Step 3: Cross multiply
    285,841.86x = 428,723.06 × 200,193.26
  4. Step 4: Simplify right side
    285,841.86x = 85,827,467,018.58
  5. Step 5: Solve for x
    x = 85,827,467,018.58/285,841.86
  6. Step 6: Final answer
    x = 300,262.06

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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.