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Finding the Fourth Proportional to 256,391.86, 384,624.24 and 78,913.66

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Solution

The fourth proportional to 256,391.86, 384,624.24 and 78,913.66 is: 118,381.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,391.86 : 384,624.24 = 78,913.66 : x
  2. Step 2: Convert to fraction form
    256,391.86/384,624.24 = 78,913.66/x
  3. Step 3: Cross multiply
    256,391.86x = 384,624.24 × 78,913.66
  4. Step 4: Simplify right side
    256,391.86x = 30,352,106,503.12
  5. Step 5: Solve for x
    x = 30,352,106,503.12/256,391.86
  6. Step 6: Final answer
    x = 118,381.71

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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.