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Finding the Fourth Proportional to 392,743.48, 541,966.70 and 222,955.32

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Solution

The fourth proportional to 392,743.48, 541,966.70 and 222,955.32 is: 307,667.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,743.48 : 541,966.70 = 222,955.32 : x
  2. Step 2: Convert to fraction form
    392,743.48/541,966.70 = 222,955.32/x
  3. Step 3: Cross multiply
    392,743.48x = 541,966.70 × 222,955.32
  4. Step 4: Simplify right side
    392,743.48x = 120,834,359,027.84
  5. Step 5: Solve for x
    x = 120,834,359,027.84/392,743.48
  6. Step 6: Final answer
    x = 307,667.38

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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.