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Finding the Fourth Proportional to 354,200.26, 531,010.86 and 164,778.70

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Solution

The fourth proportional to 354,200.26, 531,010.86 and 164,778.70 is: 247,033.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,200.26 : 531,010.86 = 164,778.70 : x
  2. Step 2: Convert to fraction form
    354,200.26/531,010.86 = 164,778.70/x
  3. Step 3: Cross multiply
    354,200.26x = 531,010.86 × 164,778.70
  4. Step 4: Simplify right side
    354,200.26x = 87,499,279,196.68
  5. Step 5: Solve for x
    x = 87,499,279,196.68/354,200.26
  6. Step 6: Final answer
    x = 247,033.36

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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.