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Finding the Fourth Proportional to 395,453.75, 545,723.42 and 214,161.53

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Solution

The fourth proportional to 395,453.75, 545,723.42 and 214,161.53 is: 295,541.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,453.75 : 545,723.42 = 214,161.53 : x
  2. Step 2: Convert to fraction form
    395,453.75/545,723.42 = 214,161.53/x
  3. Step 3: Cross multiply
    395,453.75x = 545,723.42 × 214,161.53
  4. Step 4: Simplify right side
    395,453.75x = 116,872,958,784.61
  5. Step 5: Solve for x
    x = 116,872,958,784.61/395,453.75
  6. Step 6: Final answer
    x = 295,541.41

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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.