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Finding the Fourth Proportional to 285,978.65, 394,685.53 and 165,119.73

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Solution

The fourth proportional to 285,978.65, 394,685.53 and 165,119.73 is: 227,885.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,978.65 : 394,685.53 = 165,119.73 : x
  2. Step 2: Convert to fraction form
    285,978.65/394,685.53 = 165,119.73/x
  3. Step 3: Cross multiply
    285,978.65x = 394,685.53 × 165,119.73
  4. Step 4: Simplify right side
    285,978.65x = 65,170,368,148.51
  5. Step 5: Solve for x
    x = 65,170,368,148.51/285,978.65
  6. Step 6: Final answer
    x = 227,885.44

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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.