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Finding the Fourth Proportional to 392,727.84, 541,932.36 and 220,636.46

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Solution

The fourth proportional to 392,727.84, 541,932.36 and 220,636.46 is: 304,460.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,727.84 : 541,932.36 = 220,636.46 : x
  2. Step 2: Convert to fraction form
    392,727.84/541,932.36 = 220,636.46/x
  3. Step 3: Cross multiply
    392,727.84x = 541,932.36 × 220,636.46
  4. Step 4: Simplify right side
    392,727.84x = 119,570,035,311.78
  5. Step 5: Solve for x
    x = 119,570,035,311.78/392,727.84
  6. Step 6: Final answer
    x = 304,460.30

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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.