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Finding the Fourth Proportional to 395,409.96, 545,665.61 and 214,121.84

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Solution

The fourth proportional to 395,409.96, 545,665.61 and 214,121.84 is: 295,488.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,409.96 : 545,665.61 = 214,121.84 : x
  2. Step 2: Convert to fraction form
    395,409.96/545,665.61 = 214,121.84/x
  3. Step 3: Cross multiply
    395,409.96x = 545,665.61 × 214,121.84
  4. Step 4: Simplify right side
    395,409.96x = 116,838,926,081.61
  5. Step 5: Solve for x
    x = 116,838,926,081.61/395,409.96
  6. Step 6: Final answer
    x = 295,488.07

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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.