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Finding the Fourth Proportional to 395,409.60, 545,664.30 and 214,121.58

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Solution

The fourth proportional to 395,409.60, 545,664.30 and 214,121.58 is: 295,487.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,409.60 : 545,664.30 = 214,121.58 : x
  2. Step 2: Convert to fraction form
    395,409.60/545,664.30 = 214,121.58/x
  3. Step 3: Cross multiply
    395,409.60x = 545,664.30 × 214,121.58
  4. Step 4: Simplify right side
    395,409.60x = 116,838,502,065.59
  5. Step 5: Solve for x
    x = 116,838,502,065.59/395,409.60
  6. Step 6: Final answer
    x = 295,487.27

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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.