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Finding the Fourth Proportional to 303,284.30, 418,346.82 and 194,351.94

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Solution

The fourth proportional to 303,284.30, 418,346.82 and 194,351.94 is: 268,086.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,284.30 : 418,346.82 = 194,351.94 : x
  2. Step 2: Convert to fraction form
    303,284.30/418,346.82 = 194,351.94/x
  3. Step 3: Cross multiply
    303,284.30x = 418,346.82 × 194,351.94
  4. Step 4: Simplify right side
    303,284.30x = 81,306,516,059.83
  5. Step 5: Solve for x
    x = 81,306,516,059.83/303,284.30
  6. Step 6: Final answer
    x = 268,086.80

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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.