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Finding the Fourth Proportional to 395,649.72, 545,995.80 and 214,366.50

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Solution

The fourth proportional to 395,649.72, 545,995.80 and 214,366.50 is: 295,825.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,649.72 : 545,995.80 = 214,366.50 : x
  2. Step 2: Convert to fraction form
    395,649.72/545,995.80 = 214,366.50/x
  3. Step 3: Cross multiply
    395,649.72x = 545,995.80 × 214,366.50
  4. Step 4: Simplify right side
    395,649.72x = 117,043,208,660.70
  5. Step 5: Solve for x
    x = 117,043,208,660.70/395,649.72
  6. Step 6: Final answer
    x = 295,825.33

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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.