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Finding the Fourth Proportional to 256,298.85, 384,411.83 and 87,826.95

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Solution

The fourth proportional to 256,298.85, 384,411.83 and 87,826.95 is: 131,727.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,298.85 : 384,411.83 = 87,826.95 : x
  2. Step 2: Convert to fraction form
    256,298.85/384,411.83 = 87,826.95/x
  3. Step 3: Cross multiply
    256,298.85x = 384,411.83 × 87,826.95
  4. Step 4: Simplify right side
    256,298.85x = 33,761,718,133.68
  5. Step 5: Solve for x
    x = 33,761,718,133.68/256,298.85
  6. Step 6: Final answer
    x = 131,727.93

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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.