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Finding the Fourth Proportional to 391,078, 539,687.64 and 212,230

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Solution

The fourth proportional to 391,078, 539,687.64 and 212,230 is: 292,877.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,078 : 539,687.64 = 212,230 : x
  2. Step 2: Convert to fraction form
    391,078/539,687.64 = 212,230/x
  3. Step 3: Cross multiply
    391,078x = 539,687.64 × 212,230
  4. Step 4: Simplify right side
    391,078x = 114,537,907,837.20
  5. Step 5: Solve for x
    x = 114,537,907,837.20/391,078
  6. Step 6: Final answer
    x = 292,877.40

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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.