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Finding the Fourth Proportional to 397,296.30, 596,199.60 and 219,930.60

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Solution

The fourth proportional to 397,296.30, 596,199.60 and 219,930.60 is: 330,037.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,296.30 : 596,199.60 = 219,930.60 : x
  2. Step 2: Convert to fraction form
    397,296.30/596,199.60 = 219,930.60/x
  3. Step 3: Cross multiply
    397,296.30x = 596,199.60 × 219,930.60
  4. Step 4: Simplify right side
    397,296.30x = 131,122,535,747.76
  5. Step 5: Solve for x
    x = 131,122,535,747.76/397,296.30
  6. Step 6: Final answer
    x = 330,037.14

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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.