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Finding the Fourth Proportional to 256,497.76, 384,765.96 and 76,568.96

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Solution

The fourth proportional to 256,497.76, 384,765.96 and 76,568.96 is: 114,859.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,497.76 : 384,765.96 = 76,568.96 : x
  2. Step 2: Convert to fraction form
    256,497.76/384,765.96 = 76,568.96/x
  3. Step 3: Cross multiply
    256,497.76x = 384,765.96 × 76,568.96
  4. Step 4: Simplify right side
    256,497.76x = 29,461,129,400.60
  5. Step 5: Solve for x
    x = 29,461,129,400.60/256,497.76
  6. Step 6: Final answer
    x = 114,859.21

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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.