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Finding the Fourth Proportional to 395,503.94, 545,794.12 and 214,215.42

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Solution

The fourth proportional to 395,503.94, 545,794.12 and 214,215.42 is: 295,616.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,503.94 : 545,794.12 = 214,215.42 : x
  2. Step 2: Convert to fraction form
    395,503.94/545,794.12 = 214,215.42/x
  3. Step 3: Cross multiply
    395,503.94x = 545,794.12 × 214,215.42
  4. Step 4: Simplify right side
    395,503.94x = 116,917,516,649.33
  5. Step 5: Solve for x
    x = 116,917,516,649.33/395,503.94
  6. Step 6: Final answer
    x = 295,616.57

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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.