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Finding the Fourth Proportional to 455,705.28, 682,963.36 and 329,769.72

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Solution

The fourth proportional to 455,705.28, 682,963.36 and 329,769.72 is: 494,224.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,705.28 : 682,963.36 = 329,769.72 : x
  2. Step 2: Convert to fraction form
    455,705.28/682,963.36 = 329,769.72/x
  3. Step 3: Cross multiply
    455,705.28x = 682,963.36 × 329,769.72
  4. Step 4: Simplify right side
    455,705.28x = 225,220,635,997.46
  5. Step 5: Solve for x
    x = 225,220,635,997.46/455,705.28
  6. Step 6: Final answer
    x = 494,224.33

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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.