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Finding the Fourth Proportional to 275,999.40, 413,999.10 and 169,711.20

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Solution

The fourth proportional to 275,999.40, 413,999.10 and 169,711.20 is: 254,566.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,999.40 : 413,999.10 = 169,711.20 : x
  2. Step 2: Convert to fraction form
    275,999.40/413,999.10 = 169,711.20/x
  3. Step 3: Cross multiply
    275,999.40x = 413,999.10 × 169,711.20
  4. Step 4: Simplify right side
    275,999.40x = 70,260,284,059.92
  5. Step 5: Solve for x
    x = 70,260,284,059.92/275,999.40
  6. Step 6: Final answer
    x = 254,566.80

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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.