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Finding the Fourth Proportional to 256,539.92, 384,809.88 and 69,546.56

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Solution

The fourth proportional to 256,539.92, 384,809.88 and 69,546.56 is: 104,319.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,539.92 : 384,809.88 = 69,546.56 : x
  2. Step 2: Convert to fraction form
    256,539.92/384,809.88 = 69,546.56/x
  3. Step 3: Cross multiply
    256,539.92x = 384,809.88 × 69,546.56
  4. Step 4: Simplify right side
    256,539.92x = 26,762,203,408.01
  5. Step 5: Solve for x
    x = 26,762,203,408.01/256,539.92
  6. Step 6: Final answer
    x = 104,319.84

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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.