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Finding the Fourth Proportional to 395,108.51, 545,249.69 and 213,820.43

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Solution

The fourth proportional to 395,108.51, 545,249.69 and 213,820.43 is: 295,072.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,108.51 : 545,249.69 = 213,820.43 : x
  2. Step 2: Convert to fraction form
    395,108.51/545,249.69 = 213,820.43/x
  3. Step 3: Cross multiply
    395,108.51x = 545,249.69 × 213,820.43
  4. Step 4: Simplify right side
    395,108.51x = 116,585,519,377.82
  5. Step 5: Solve for x
    x = 116,585,519,377.82/395,108.51
  6. Step 6: Final answer
    x = 295,072.16

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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.