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Finding the Fourth Proportional to 256,213.32, 384,369.39 and 78,688.86

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Solution

The fourth proportional to 256,213.32, 384,369.39 and 78,688.86 is: 118,048.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,213.32 : 384,369.39 = 78,688.86 : x
  2. Step 2: Convert to fraction form
    256,213.32/384,369.39 = 78,688.86/x
  3. Step 3: Cross multiply
    256,213.32x = 384,369.39 × 78,688.86
  4. Step 4: Simplify right side
    256,213.32x = 30,245,589,118.00
  5. Step 5: Solve for x
    x = 30,245,589,118.00/256,213.32
  6. Step 6: Final answer
    x = 118,048.46

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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.