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Finding the Fourth Proportional to 395,109, 545,250.39 and 213,820.93

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Solution

The fourth proportional to 395,109, 545,250.39 and 213,820.93 is: 295,072.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,109 : 545,250.39 = 213,820.93 : x
  2. Step 2: Convert to fraction form
    395,109/545,250.39 = 213,820.93/x
  3. Step 3: Cross multiply
    395,109x = 545,250.39 × 213,820.93
  4. Step 4: Simplify right side
    395,109x = 116,585,945,472.66
  5. Step 5: Solve for x
    x = 116,585,945,472.66/395,109
  6. Step 6: Final answer
    x = 295,072.87

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1.5x scale

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.