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Finding the Fourth Proportional to 256,787.20, 384,373.50 and 176,354.20

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Solution

The fourth proportional to 256,787.20, 384,373.50 and 176,354.20 is: 263,976.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,787.20 : 384,373.50 = 176,354.20 : x
  2. Step 2: Convert to fraction form
    256,787.20/384,373.50 = 176,354.20/x
  3. Step 3: Cross multiply
    256,787.20x = 384,373.50 × 176,354.20
  4. Step 4: Simplify right side
    256,787.20x = 67,785,881,093.70
  5. Step 5: Solve for x
    x = 67,785,881,093.70/256,787.20
  6. Step 6: Final answer
    x = 263,976.87

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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.