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Finding the Fourth Proportional to 256,769.80, 384,279.90 and 256,769.80

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Solution

The fourth proportional to 256,769.80, 384,279.90 and 256,769.80 is: 384,279.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,769.80 : 384,279.90 = 256,769.80 : x
  2. Step 2: Convert to fraction form
    256,769.80/384,279.90 = 256,769.80/x
  3. Step 3: Cross multiply
    256,769.80x = 384,279.90 × 256,769.80
  4. Step 4: Simplify right side
    256,769.80x = 98,671,473,067.02
  5. Step 5: Solve for x
    x = 98,671,473,067.02/256,769.80
  6. Step 6: Final answer
    x = 384,279.90

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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.