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Finding the Fourth Proportional to 285,987.48, 394,681.44 and 165,133.86

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Solution

The fourth proportional to 285,987.48, 394,681.44 and 165,133.86 is: 227,895.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,987.48 : 394,681.44 = 165,133.86 : x
  2. Step 2: Convert to fraction form
    285,987.48/394,681.44 = 165,133.86/x
  3. Step 3: Cross multiply
    285,987.48x = 394,681.44 × 165,133.86
  4. Step 4: Simplify right side
    285,987.48x = 65,175,269,657.56
  5. Step 5: Solve for x
    x = 65,175,269,657.56/285,987.48
  6. Step 6: Final answer
    x = 227,895.53

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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.