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Finding the Fourth Proportional to 256,163.43, 384,256.13 and 78,677.49

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Solution

The fourth proportional to 256,163.43, 384,256.13 and 78,677.49 is: 118,019.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,163.43 : 384,256.13 = 78,677.49 : x
  2. Step 2: Convert to fraction form
    256,163.43/384,256.13 = 78,677.49/x
  3. Step 3: Cross multiply
    256,163.43x = 384,256.13 × 78,677.49
  4. Step 4: Simplify right side
    256,163.43x = 30,232,307,432.13
  5. Step 5: Solve for x
    x = 30,232,307,432.13/256,163.43
  6. Step 6: Final answer
    x = 118,019.61

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1.5x scale

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.