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Finding the Fourth Proportional to 395,361.43, 545,599.10 and 214,073.46

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Solution

The fourth proportional to 395,361.43, 545,599.10 and 214,073.46 is: 295,421.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,361.43 : 545,599.10 = 214,073.46 : x
  2. Step 2: Convert to fraction form
    395,361.43/545,599.10 = 214,073.46/x
  3. Step 3: Cross multiply
    395,361.43x = 545,599.10 × 214,073.46
  4. Step 4: Simplify right side
    395,361.43x = 116,798,287,645.07
  5. Step 5: Solve for x
    x = 116,798,287,645.07/395,361.43
  6. Step 6: Final answer
    x = 295,421.55

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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.