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Finding the Fourth Proportional to 395,471.30, 545,749.54 and 214,182.68

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Solution

The fourth proportional to 395,471.30, 545,749.54 and 214,182.68 is: 295,571.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,471.30 : 545,749.54 = 214,182.68 : x
  2. Step 2: Convert to fraction form
    395,471.30/545,749.54 = 214,182.68/x
  3. Step 3: Cross multiply
    395,471.30x = 545,749.54 × 214,182.68
  4. Step 4: Simplify right side
    395,471.30x = 116,890,095,821.76
  5. Step 5: Solve for x
    x = 116,890,095,821.76/395,471.30
  6. Step 6: Final answer
    x = 295,571.63

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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.