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Finding the Fourth Proportional to 391,077, 539,686.26 and 212,229

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Solution

The fourth proportional to 391,077, 539,686.26 and 212,229 is: 292,876.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,077 : 539,686.26 = 212,229 : x
  2. Step 2: Convert to fraction form
    391,077/539,686.26 = 212,229/x
  3. Step 3: Cross multiply
    391,077x = 539,686.26 × 212,229
  4. Step 4: Simplify right side
    391,077x = 114,537,075,273.54
  5. Step 5: Solve for x
    x = 114,537,075,273.54/391,077
  6. Step 6: Final answer
    x = 292,876.02

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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.