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Finding the Fourth Proportional to 256,389.86, 384,621.24 and 78,911.66

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Solution

The fourth proportional to 256,389.86, 384,621.24 and 78,911.66 is: 118,378.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,389.86 : 384,621.24 = 78,911.66 : x
  2. Step 2: Convert to fraction form
    256,389.86/384,621.24 = 78,911.66/x
  3. Step 3: Cross multiply
    256,389.86x = 384,621.24 × 78,911.66
  4. Step 4: Simplify right side
    256,389.86x = 30,351,100,519.66
  5. Step 5: Solve for x
    x = 30,351,100,519.66/256,389.86
  6. Step 6: Final answer
    x = 118,378.71

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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.