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Finding the Fourth Proportional to 275,806.20, 413,914.10 and 109,713.40

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Solution

The fourth proportional to 275,806.20, 413,914.10 and 109,713.40 is: 164,651.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,806.20 : 413,914.10 = 109,713.40 : x
  2. Step 2: Convert to fraction form
    275,806.20/413,914.10 = 109,713.40/x
  3. Step 3: Cross multiply
    275,806.20x = 413,914.10 × 109,713.40
  4. Step 4: Simplify right side
    275,806.20x = 45,411,923,218.94
  5. Step 5: Solve for x
    x = 45,411,923,218.94/275,806.20
  6. Step 6: Final answer
    x = 164,651.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.