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Finding the Fourth Proportional to 305,363.20, 457,826.10 and 127,778.80

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Solution

The fourth proportional to 305,363.20, 457,826.10 and 127,778.80 is: 191,576.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,363.20 : 457,826.10 = 127,778.80 : x
  2. Step 2: Convert to fraction form
    305,363.20/457,826.10 = 127,778.80/x
  3. Step 3: Cross multiply
    305,363.20x = 457,826.10 × 127,778.80
  4. Step 4: Simplify right side
    305,363.20x = 58,500,469,666.68
  5. Step 5: Solve for x
    x = 58,500,469,666.68/305,363.20
  6. Step 6: Final answer
    x = 191,576.69

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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.