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Finding the Fourth Proportional to 391,084.80, 539,696.40 and 212,236.80

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Solution

The fourth proportional to 391,084.80, 539,696.40 and 212,236.80 is: 292,886.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,084.80 : 539,696.40 = 212,236.80 : x
  2. Step 2: Convert to fraction form
    391,084.80/539,696.40 = 212,236.80/x
  3. Step 3: Cross multiply
    391,084.80x = 539,696.40 × 212,236.80
  4. Step 4: Simplify right side
    391,084.80x = 114,543,436,907.52
  5. Step 5: Solve for x
    x = 114,543,436,907.52/391,084.80
  6. Step 6: Final answer
    x = 292,886.45

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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.