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Finding the Fourth Proportional to 285,982.48, 394,674.51 and 165,128.86

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Solution

The fourth proportional to 285,982.48, 394,674.51 and 165,128.86 is: 227,888.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,982.48 : 394,674.51 = 165,128.86 : x
  2. Step 2: Convert to fraction form
    285,982.48/394,674.51 = 165,128.86/x
  3. Step 3: Cross multiply
    285,982.48x = 394,674.51 × 165,128.86
  4. Step 4: Simplify right side
    285,982.48x = 65,172,151,907.36
  5. Step 5: Solve for x
    x = 65,172,151,907.36/285,982.48
  6. Step 6: Final answer
    x = 227,888.62

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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.