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Finding the Fourth Proportional to 256,363.32, 383,787.70 and 189,358.52

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Solution

The fourth proportional to 256,363.32, 383,787.70 and 189,358.52 is: 283,478.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,363.32 : 383,787.70 = 189,358.52 : x
  2. Step 2: Convert to fraction form
    256,363.32/383,787.70 = 189,358.52/x
  3. Step 3: Cross multiply
    256,363.32x = 383,787.70 × 189,358.52
  4. Step 4: Simplify right side
    256,363.32x = 72,673,470,866.20
  5. Step 5: Solve for x
    x = 72,673,470,866.20/256,363.32
  6. Step 6: Final answer
    x = 283,478.43

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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.