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Finding the Fourth Proportional to 323,884.42, 446,961.18 and 180,640.78

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Solution

The fourth proportional to 323,884.42, 446,961.18 and 180,640.78 is: 249,284.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,884.42 : 446,961.18 = 180,640.78 : x
  2. Step 2: Convert to fraction form
    323,884.42/446,961.18 = 180,640.78/x
  3. Step 3: Cross multiply
    323,884.42x = 446,961.18 × 180,640.78
  4. Step 4: Simplify right side
    323,884.42x = 80,739,416,184.92
  5. Step 5: Solve for x
    x = 80,739,416,184.92/323,884.42
  6. Step 6: Final answer
    x = 249,284.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.