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Finding the Fourth Proportional to 256,709.72, 384,982.68 and 88,189.40

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Solution

The fourth proportional to 256,709.72, 384,982.68 and 88,189.40 is: 132,255.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,709.72 : 384,982.68 = 88,189.40 : x
  2. Step 2: Convert to fraction form
    256,709.72/384,982.68 = 88,189.40/x
  3. Step 3: Cross multiply
    256,709.72x = 384,982.68 × 88,189.40
  4. Step 4: Simplify right side
    256,709.72x = 33,951,391,559.59
  5. Step 5: Solve for x
    x = 33,951,391,559.59/256,709.72
  6. Step 6: Final answer
    x = 132,255.96

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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.