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Finding the Fourth Proportional to 392,828, 542,102.64 and 213,980

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Solution

The fourth proportional to 392,828, 542,102.64 and 213,980 is: 295,292.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,828 : 542,102.64 = 213,980 : x
  2. Step 2: Convert to fraction form
    392,828/542,102.64 = 213,980/x
  3. Step 3: Cross multiply
    392,828x = 542,102.64 × 213,980
  4. Step 4: Simplify right side
    392,828x = 115,999,122,907.20
  5. Step 5: Solve for x
    x = 115,999,122,907.20/392,828
  6. Step 6: Final answer
    x = 295,292.40

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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.