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Finding the Fourth Proportional to 392,304.90, 541,364.40 and 222,571.02

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Solution

The fourth proportional to 392,304.90, 541,364.40 and 222,571.02 is: 307,138.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,304.90 : 541,364.40 = 222,571.02 : x
  2. Step 2: Convert to fraction form
    392,304.90/541,364.40 = 222,571.02/x
  3. Step 3: Cross multiply
    392,304.90x = 541,364.40 × 222,571.02
  4. Step 4: Simplify right side
    392,304.90x = 120,492,026,699.69
  5. Step 5: Solve for x
    x = 120,492,026,699.69/392,304.90
  6. Step 6: Final answer
    x = 307,138.72

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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.