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Finding the Fourth Proportional to 285,808.86, 394,387.80 and 164,989.07

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Solution

The fourth proportional to 285,808.86, 394,387.80 and 164,989.07 is: 227,668.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,808.86 : 394,387.80 = 164,989.07 : x
  2. Step 2: Convert to fraction form
    285,808.86/394,387.80 = 164,989.07/x
  3. Step 3: Cross multiply
    285,808.86x = 394,387.80 × 164,989.07
  4. Step 4: Simplify right side
    285,808.86x = 65,069,675,229.65
  5. Step 5: Solve for x
    x = 65,069,675,229.65/285,808.86
  6. Step 6: Final answer
    x = 227,668.50

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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.