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Finding the Fourth Proportional to 513,796.48, 770,164.98 and 214,451.26

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Solution

The fourth proportional to 513,796.48, 770,164.98 and 214,451.26 is: 321,455.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,796.48 : 770,164.98 = 214,451.26 : x
  2. Step 2: Convert to fraction form
    513,796.48/770,164.98 = 214,451.26/x
  3. Step 3: Cross multiply
    513,796.48x = 770,164.98 × 214,451.26
  4. Step 4: Simplify right side
    513,796.48x = 165,162,850,368.88
  5. Step 5: Solve for x
    x = 165,162,850,368.88/513,796.48
  6. Step 6: Final answer
    x = 321,455.78

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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.