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Finding the Fourth Proportional to 391,071, 539,678 and 212,223

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Solution

The fourth proportional to 391,071, 539,678 and 212,223 is: 292,867.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,071 : 539,678 = 212,223 : x
  2. Step 2: Convert to fraction form
    391,071/539,678 = 212,223/x
  3. Step 3: Cross multiply
    391,071x = 539,678 × 212,223
  4. Step 4: Simplify right side
    391,071x = 114,532,084,194
  5. Step 5: Solve for x
    x = 114,532,084,194/391,071
  6. Step 6: Final answer
    x = 292,867.75

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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.