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Finding the Fourth Proportional to 325,689.51, 449,322.15 and 203,109.78

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Solution

The fourth proportional to 325,689.51, 449,322.15 and 203,109.78 is: 280,210.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,689.51 : 449,322.15 = 203,109.78 : x
  2. Step 2: Convert to fraction form
    325,689.51/449,322.15 = 203,109.78/x
  3. Step 3: Cross multiply
    325,689.51x = 449,322.15 × 203,109.78
  4. Step 4: Simplify right side
    325,689.51x = 91,261,723,035.63
  5. Step 5: Solve for x
    x = 91,261,723,035.63/325,689.51
  6. Step 6: Final answer
    x = 280,210.82

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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.