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Finding the Fourth Proportional to 256,768.80, 384,278.40 and 256,768.80

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Solution

The fourth proportional to 256,768.80, 384,278.40 and 256,768.80 is: 384,278.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,768.80 : 384,278.40 = 256,768.80 : x
  2. Step 2: Convert to fraction form
    256,768.80/384,278.40 = 256,768.80/x
  3. Step 3: Cross multiply
    256,768.80x = 384,278.40 × 256,768.80
  4. Step 4: Simplify right side
    256,768.80x = 98,670,703,633.92
  5. Step 5: Solve for x
    x = 98,670,703,633.92/256,768.80
  6. Step 6: Final answer
    x = 384,278.40

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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.