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Finding the Fourth Proportional to 395,419.59, 545,679.55 and 214,131.80

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Solution

The fourth proportional to 395,419.59, 545,679.55 and 214,131.80 is: 295,502.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,419.59 : 545,679.55 = 214,131.80 : x
  2. Step 2: Convert to fraction form
    395,419.59/545,679.55 = 214,131.80/x
  3. Step 3: Cross multiply
    395,419.59x = 545,679.55 × 214,131.80
  4. Step 4: Simplify right side
    395,419.59x = 116,847,345,896.55
  5. Step 5: Solve for x
    x = 116,847,345,896.55/395,419.59
  6. Step 6: Final answer
    x = 295,502.17

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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.