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Finding the Fourth Proportional to 256,284.56, 353,612.84 and 148,789.86

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Solution

The fourth proportional to 256,284.56, 353,612.84 and 148,789.86 is: 205,295.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,284.56 : 353,612.84 = 148,789.86 : x
  2. Step 2: Convert to fraction form
    256,284.56/353,612.84 = 148,789.86/x
  3. Step 3: Cross multiply
    256,284.56x = 353,612.84 × 148,789.86
  4. Step 4: Simplify right side
    256,284.56x = 52,614,004,213.85
  5. Step 5: Solve for x
    x = 52,614,004,213.85/256,284.56
  6. Step 6: Final answer
    x = 205,295.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.