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Finding the Fourth Proportional to 285,859.88, 394,423.54 and 164,975.48

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Solution

The fourth proportional to 285,859.88, 394,423.54 and 164,975.48 is: 227,629.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,859.88 : 394,423.54 = 164,975.48 : x
  2. Step 2: Convert to fraction form
    285,859.88/394,423.54 = 164,975.48/x
  3. Step 3: Cross multiply
    285,859.88x = 394,423.54 × 164,975.48
  4. Step 4: Simplify right side
    285,859.88x = 65,070,212,834.80
  5. Step 5: Solve for x
    x = 65,070,212,834.80/285,859.88
  6. Step 6: Final answer
    x = 227,629.75

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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.