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Finding the Fourth Proportional to 256,634.43, 384,951.84 and 69,645.93

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Solution

The fourth proportional to 256,634.43, 384,951.84 and 69,645.93 is: 104,468.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,634.43 : 384,951.84 = 69,645.93 : x
  2. Step 2: Convert to fraction form
    256,634.43/384,951.84 = 69,645.93/x
  3. Step 3: Cross multiply
    256,634.43x = 384,951.84 × 69,645.93
  4. Step 4: Simplify right side
    256,634.43x = 26,810,328,902.01
  5. Step 5: Solve for x
    x = 26,810,328,902.01/256,634.43
  6. Step 6: Final answer
    x = 104,468.95

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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.