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Finding the Fourth Proportional to 391,268, 539,949.84 and 212,420

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Solution

The fourth proportional to 391,268, 539,949.84 and 212,420 is: 293,139.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,268 : 539,949.84 = 212,420 : x
  2. Step 2: Convert to fraction form
    391,268/539,949.84 = 212,420/x
  3. Step 3: Cross multiply
    391,268x = 539,949.84 × 212,420
  4. Step 4: Simplify right side
    391,268x = 114,696,145,012.80
  5. Step 5: Solve for x
    x = 114,696,145,012.80/391,268
  6. Step 6: Final answer
    x = 293,139.60

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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.