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Finding the Fourth Proportional to 256,026.48, 384,121.80 and 106,338.48

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Solution

The fourth proportional to 256,026.48, 384,121.80 and 106,338.48 is: 159,541.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,026.48 : 384,121.80 = 106,338.48 : x
  2. Step 2: Convert to fraction form
    256,026.48/384,121.80 = 106,338.48/x
  3. Step 3: Cross multiply
    256,026.48x = 384,121.80 × 106,338.48
  4. Step 4: Simplify right side
    256,026.48x = 40,846,928,346.86
  5. Step 5: Solve for x
    x = 40,846,928,346.86/256,026.48
  6. Step 6: Final answer
    x = 159,541.81

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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.