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Finding the Fourth Proportional to 395,494.30, 545,781.90 and 214,206.17

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Solution

The fourth proportional to 395,494.30, 545,781.90 and 214,206.17 is: 295,604.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,494.30 : 545,781.90 = 214,206.17 : x
  2. Step 2: Convert to fraction form
    395,494.30/545,781.90 = 214,206.17/x
  3. Step 3: Cross multiply
    395,494.30x = 545,781.90 × 214,206.17
  4. Step 4: Simplify right side
    395,494.30x = 116,909,850,393.80
  5. Step 5: Solve for x
    x = 116,909,850,393.80/395,494.30
  6. Step 6: Final answer
    x = 295,604.39

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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.