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Finding the Fourth Proportional to 278,895.60, 418,343.40 and 194,914.80

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Solution

The fourth proportional to 278,895.60, 418,343.40 and 194,914.80 is: 292,372.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,895.60 : 418,343.40 = 194,914.80 : x
  2. Step 2: Convert to fraction form
    278,895.60/418,343.40 = 194,914.80/x
  3. Step 3: Cross multiply
    278,895.60x = 418,343.40 × 194,914.80
  4. Step 4: Simplify right side
    278,895.60x = 81,541,320,142.32
  5. Step 5: Solve for x
    x = 81,541,320,142.32/278,895.60
  6. Step 6: Final answer
    x = 292,372.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.