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Finding the Fourth Proportional to 256,006.40, 384,093.84 and 121,128.44

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Solution

The fourth proportional to 256,006.40, 384,093.84 and 121,128.44 is: 181,732.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,006.40 : 384,093.84 = 121,128.44 : x
  2. Step 2: Convert to fraction form
    256,006.40/384,093.84 = 121,128.44/x
  3. Step 3: Cross multiply
    256,006.40x = 384,093.84 × 121,128.44
  4. Step 4: Simplify right side
    256,006.40x = 46,524,687,652.81
  5. Step 5: Solve for x
    x = 46,524,687,652.81/256,006.40
  6. Step 6: Final answer
    x = 181,732.52

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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.