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Finding the Fourth Proportional to 285,988.48, 394,682.82 and 165,134.86

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Solution

The fourth proportional to 285,988.48, 394,682.82 and 165,134.86 is: 227,896.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,988.48 : 394,682.82 = 165,134.86 : x
  2. Step 2: Convert to fraction form
    285,988.48/394,682.82 = 165,134.86/x
  3. Step 3: Cross multiply
    285,988.48x = 394,682.82 × 165,134.86
  4. Step 4: Simplify right side
    285,988.48x = 65,175,892,225.11
  5. Step 5: Solve for x
    x = 65,175,892,225.11/285,988.48
  6. Step 6: Final answer
    x = 227,896.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.