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Finding the Fourth Proportional to 256,794.48, 384,442.20 and 149,850.72

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Solution

The fourth proportional to 256,794.48, 384,442.20 and 149,850.72 is: 224,338.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,794.48 : 384,442.20 = 149,850.72 : x
  2. Step 2: Convert to fraction form
    256,794.48/384,442.20 = 149,850.72/x
  3. Step 3: Cross multiply
    256,794.48x = 384,442.20 × 149,850.72
  4. Step 4: Simplify right side
    256,794.48x = 57,608,940,468.38
  5. Step 5: Solve for x
    x = 57,608,940,468.38/256,794.48
  6. Step 6: Final answer
    x = 224,338.70

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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.