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Finding the Fourth Proportional to 256,098.96, 383,886 and 98,285.04

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Solution

The fourth proportional to 256,098.96, 383,886 and 98,285.04 is: 147,326.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,098.96 : 383,886 = 98,285.04 : x
  2. Step 2: Convert to fraction form
    256,098.96/383,886 = 98,285.04/x
  3. Step 3: Cross multiply
    256,098.96x = 383,886 × 98,285.04
  4. Step 4: Simplify right side
    256,098.96x = 37,730,250,865.44
  5. Step 5: Solve for x
    x = 37,730,250,865.44/256,098.96
  6. Step 6: Final answer
    x = 147,326.84

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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.