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Finding the Fourth Proportional to 275,355.84, 412,958.58 and 75,628.76

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Solution

The fourth proportional to 275,355.84, 412,958.58 and 75,628.76 is: 113,422.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,355.84 : 412,958.58 = 75,628.76 : x
  2. Step 2: Convert to fraction form
    275,355.84/412,958.58 = 75,628.76/x
  3. Step 3: Cross multiply
    275,355.84x = 412,958.58 × 75,628.76
  4. Step 4: Simplify right side
    275,355.84x = 31,231,543,271.97
  5. Step 5: Solve for x
    x = 31,231,543,271.97/275,355.84
  6. Step 6: Final answer
    x = 113,422.48

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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.