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Finding the Fourth Proportional to 395,419.70, 545,679.49 and 214,131.83

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Solution

The fourth proportional to 395,419.70, 545,679.49 and 214,131.83 is: 295,502.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,419.70 : 545,679.49 = 214,131.83 : x
  2. Step 2: Convert to fraction form
    395,419.70/545,679.49 = 214,131.83/x
  3. Step 3: Cross multiply
    395,419.70x = 545,679.49 × 214,131.83
  4. Step 4: Simplify right side
    395,419.70x = 116,847,348,616.04
  5. Step 5: Solve for x
    x = 116,847,348,616.04/395,419.70
  6. Step 6: Final answer
    x = 295,502.09

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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.