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Finding the Fourth Proportional to 275,238.88, 412,320.57 and 189,647.92

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Solution

The fourth proportional to 275,238.88, 412,320.57 and 189,647.92 is: 284,101.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,238.88 : 412,320.57 = 189,647.92 : x
  2. Step 2: Convert to fraction form
    275,238.88/412,320.57 = 189,647.92/x
  3. Step 3: Cross multiply
    275,238.88x = 412,320.57 × 189,647.92
  4. Step 4: Simplify right side
    275,238.88x = 78,195,738,473.71
  5. Step 5: Solve for x
    x = 78,195,738,473.71/275,238.88
  6. Step 6: Final answer
    x = 284,101.35

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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.