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Finding the Fourth Proportional to 326,178.80, 449,709.96 and 211,254.32

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Solution

The fourth proportional to 326,178.80, 449,709.96 and 211,254.32 is: 291,261.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,178.80 : 449,709.96 = 211,254.32 : x
  2. Step 2: Convert to fraction form
    326,178.80/449,709.96 = 211,254.32/x
  3. Step 3: Cross multiply
    326,178.80x = 449,709.96 × 211,254.32
  4. Step 4: Simplify right side
    326,178.80x = 95,003,171,797.03
  5. Step 5: Solve for x
    x = 95,003,171,797.03/326,178.80
  6. Step 6: Final answer
    x = 291,261.03

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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.