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Finding the Fourth Proportional to 256,142.38, 384,208.14 and 85,376.44

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Solution

The fourth proportional to 256,142.38, 384,208.14 and 85,376.44 is: 128,062.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,142.38 : 384,208.14 = 85,376.44 : x
  2. Step 2: Convert to fraction form
    256,142.38/384,208.14 = 85,376.44/x
  3. Step 3: Cross multiply
    256,142.38x = 384,208.14 × 85,376.44
  4. Step 4: Simplify right side
    256,142.38x = 32,802,323,212.22
  5. Step 5: Solve for x
    x = 32,802,323,212.22/256,142.38
  6. Step 6: Final answer
    x = 128,062.85

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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.