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Finding the Fourth Proportional to 323,468, 446,385.84 and 189,332

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Solution

The fourth proportional to 323,468, 446,385.84 and 189,332 is: 261,278.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,468 : 446,385.84 = 189,332 : x
  2. Step 2: Convert to fraction form
    323,468/446,385.84 = 189,332/x
  3. Step 3: Cross multiply
    323,468x = 446,385.84 × 189,332
  4. Step 4: Simplify right side
    323,468x = 84,515,123,858.88
  5. Step 5: Solve for x
    x = 84,515,123,858.88/323,468
  6. Step 6: Final answer
    x = 261,278.16

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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.