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Finding the Fourth Proportional to 275,000, 379,212.16 and 203,529.92

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Solution

The fourth proportional to 275,000, 379,212.16 and 203,529.92 is: 280,658.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,000 : 379,212.16 = 203,529.92 : x
  2. Step 2: Convert to fraction form
    275,000/379,212.16 = 203,529.92/x
  3. Step 3: Cross multiply
    275,000x = 379,212.16 × 203,529.92
  4. Step 4: Simplify right side
    275,000x = 77,181,020,587.83
  5. Step 5: Solve for x
    x = 77,181,020,587.83/275,000
  6. Step 6: Final answer
    x = 280,658.26

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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.