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Finding the Fourth Proportional to 213,619.20, 320,428.80 and 194,956.80

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Solution

The fourth proportional to 213,619.20, 320,428.80 and 194,956.80 is: 292,435.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,619.20 : 320,428.80 = 194,956.80 : x
  2. Step 2: Convert to fraction form
    213,619.20/320,428.80 = 194,956.80/x
  3. Step 3: Cross multiply
    213,619.20x = 320,428.80 × 194,956.80
  4. Step 4: Simplify right side
    213,619.20x = 62,469,773,475.84
  5. Step 5: Solve for x
    x = 62,469,773,475.84/213,619.20
  6. Step 6: Final answer
    x = 292,435.20

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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.