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Finding the Fourth Proportional to 392,119.94, 541,124.00 and 220,037.51

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Solution

The fourth proportional to 392,119.94, 541,124.00 and 220,037.51 is: 303,650.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,119.94 : 541,124.00 = 220,037.51 : x
  2. Step 2: Convert to fraction form
    392,119.94/541,124.00 = 220,037.51/x
  3. Step 3: Cross multiply
    392,119.94x = 541,124.00 × 220,037.51
  4. Step 4: Simplify right side
    392,119.94x = 119,067,573,755.43
  5. Step 5: Solve for x
    x = 119,067,573,755.43/392,119.94
  6. Step 6: Final answer
    x = 303,650.91

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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.