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Finding the Fourth Proportional to 285,191.13, 393,606 and 164,309.43

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Solution

The fourth proportional to 285,191.13, 393,606 and 164,309.43 is: 226,771.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,191.13 : 393,606 = 164,309.43 : x
  2. Step 2: Convert to fraction form
    285,191.13/393,606 = 164,309.43/x
  3. Step 3: Cross multiply
    285,191.13x = 393,606 × 164,309.43
  4. Step 4: Simplify right side
    285,191.13x = 64,673,177,504.58
  5. Step 5: Solve for x
    x = 64,673,177,504.58/285,191.13
  6. Step 6: Final answer
    x = 226,771.35

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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.