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Finding the Fourth Proportional to 256,909.86, 385,268.94 and 88,382.52

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Solution

The fourth proportional to 256,909.86, 385,268.94 and 88,382.52 is: 132,540.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,909.86 : 385,268.94 = 88,382.52 : x
  2. Step 2: Convert to fraction form
    256,909.86/385,268.94 = 88,382.52/x
  3. Step 3: Cross multiply
    256,909.86x = 385,268.94 × 88,382.52
  4. Step 4: Simplify right side
    256,909.86x = 34,051,039,794.93
  5. Step 5: Solve for x
    x = 34,051,039,794.93/256,909.86
  6. Step 6: Final answer
    x = 132,540.81

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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.