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Finding the Fourth Proportional to 392,844.48, 542,125.44 and 213,996.48

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Solution

The fourth proportional to 392,844.48, 542,125.44 and 213,996.48 is: 295,315.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,844.48 : 542,125.44 = 213,996.48 : x
  2. Step 2: Convert to fraction form
    392,844.48/542,125.44 = 213,996.48/x
  3. Step 3: Cross multiply
    392,844.48x = 542,125.44 × 213,996.48
  4. Step 4: Simplify right side
    392,844.48x = 116,012,935,878.45
  5. Step 5: Solve for x
    x = 116,012,935,878.45/392,844.48
  6. Step 6: Final answer
    x = 295,315.17

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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.