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Finding the Fourth Proportional to 256,787.70, 384,374.25 and 176,354.70

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Solution

The fourth proportional to 256,787.70, 384,374.25 and 176,354.70 is: 263,977.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,787.70 : 384,374.25 = 176,354.70 : x
  2. Step 2: Convert to fraction form
    256,787.70/384,374.25 = 176,354.70/x
  3. Step 3: Cross multiply
    256,787.70x = 384,374.25 × 176,354.70
  4. Step 4: Simplify right side
    256,787.70x = 67,786,205,546.48
  5. Step 5: Solve for x
    x = 67,786,205,546.48/256,787.70
  6. Step 6: Final answer
    x = 263,977.62

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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.