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Finding the Fourth Proportional to 274,805.80, 411,819.90 and 169,311.40

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Solution

The fourth proportional to 274,805.80, 411,819.90 and 169,311.40 is: 253,727.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,805.80 : 411,819.90 = 169,311.40 : x
  2. Step 2: Convert to fraction form
    274,805.80/411,819.90 = 169,311.40/x
  3. Step 3: Cross multiply
    274,805.80x = 411,819.90 × 169,311.40
  4. Step 4: Simplify right side
    274,805.80x = 69,725,803,816.86
  5. Step 5: Solve for x
    x = 69,725,803,816.86/274,805.80
  6. Step 6: Final answer
    x = 253,727.56

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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.