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Finding the Fourth Proportional to 312,684.44, 469,092.90 and 120,563.78

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Solution

The fourth proportional to 312,684.44, 469,092.90 and 120,563.78 is: 180,871.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,684.44 : 469,092.90 = 120,563.78 : x
  2. Step 2: Convert to fraction form
    312,684.44/469,092.90 = 120,563.78/x
  3. Step 3: Cross multiply
    312,684.44x = 469,092.90 × 120,563.78
  4. Step 4: Simplify right side
    312,684.44x = 56,555,613,195.16
  5. Step 5: Solve for x
    x = 56,555,613,195.16/312,684.44
  6. Step 6: Final answer
    x = 180,871.21

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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.