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Finding the Fourth Proportional to 323,822.72, 485,760 and 99,200.96

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Solution

The fourth proportional to 323,822.72, 485,760 and 99,200.96 is: 148,809.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,822.72 : 485,760 = 99,200.96 : x
  2. Step 2: Convert to fraction form
    323,822.72/485,760 = 99,200.96/x
  3. Step 3: Cross multiply
    323,822.72x = 485,760 × 99,200.96
  4. Step 4: Simplify right side
    323,822.72x = 48,187,858,329.60
  5. Step 5: Solve for x
    x = 48,187,858,329.60/323,822.72
  6. Step 6: Final answer
    x = 148,809.38

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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.