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Finding the Fourth Proportional to 256,714.08, 384,750 and 123,558.72

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Solution

The fourth proportional to 256,714.08, 384,750 and 123,558.72 is: 185,183.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,714.08 : 384,750 = 123,558.72 : x
  2. Step 2: Convert to fraction form
    256,714.08/384,750 = 123,558.72/x
  3. Step 3: Cross multiply
    256,714.08x = 384,750 × 123,558.72
  4. Step 4: Simplify right side
    256,714.08x = 47,539,217,520
  5. Step 5: Solve for x
    x = 47,539,217,520/256,714.08
  6. Step 6: Final answer
    x = 185,183.52

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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.