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Finding the Fourth Proportional to 345,814.20, 477,227.22 and 194,911.20

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Solution

The fourth proportional to 345,814.20, 477,227.22 and 194,911.20 is: 268,979.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,814.20 : 477,227.22 = 194,911.20 : x
  2. Step 2: Convert to fraction form
    345,814.20/477,227.22 = 194,911.20/x
  3. Step 3: Cross multiply
    345,814.20x = 477,227.22 × 194,911.20
  4. Step 4: Simplify right side
    345,814.20x = 93,016,930,122.86
  5. Step 5: Solve for x
    x = 93,016,930,122.86/345,814.20
  6. Step 6: Final answer
    x = 268,979.50

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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.