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Finding the Fourth Proportional to 275,004, 379,217.68 and 203,533.92

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Solution

The fourth proportional to 275,004, 379,217.68 and 203,533.92 is: 280,663.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,004 : 379,217.68 = 203,533.92 : x
  2. Step 2: Convert to fraction form
    275,004/379,217.68 = 203,533.92/x
  3. Step 3: Cross multiply
    275,004x = 379,217.68 × 203,533.92
  4. Step 4: Simplify right side
    275,004x = 77,183,660,943.71
  5. Step 5: Solve for x
    x = 77,183,660,943.71/275,004
  6. Step 6: Final answer
    x = 280,663.78

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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.