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Finding the Fourth Proportional to 278,944.36, 418,472.22 and 145,884.52

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Solution

The fourth proportional to 278,944.36, 418,472.22 and 145,884.52 is: 218,855.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,944.36 : 418,472.22 = 145,884.52 : x
  2. Step 2: Convert to fraction form
    278,944.36/418,472.22 = 145,884.52/x
  3. Step 3: Cross multiply
    278,944.36x = 418,472.22 × 145,884.52
  4. Step 4: Simplify right side
    278,944.36x = 61,048,618,948.03
  5. Step 5: Solve for x
    x = 61,048,618,948.03/278,944.36
  6. Step 6: Final answer
    x = 218,855.90

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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.