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Finding the Fourth Proportional to 256,324.59, 384,523.74 and 78,846.57

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Solution

The fourth proportional to 256,324.59, 384,523.74 and 78,846.57 is: 118,281.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,324.59 : 384,523.74 = 78,846.57 : x
  2. Step 2: Convert to fraction form
    256,324.59/384,523.74 = 78,846.57/x
  3. Step 3: Cross multiply
    256,324.59x = 384,523.74 × 78,846.57
  4. Step 4: Simplify right side
    256,324.59x = 30,318,377,982.57
  5. Step 5: Solve for x
    x = 30,318,377,982.57/256,324.59
  6. Step 6: Final answer
    x = 118,281.19

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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.