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Finding the Fourth Proportional to 297,140.40, 445,711.56 and 75,524.40

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Solution

The fourth proportional to 297,140.40, 445,711.56 and 75,524.40 is: 113,286.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,140.40 : 445,711.56 = 75,524.40 : x
  2. Step 2: Convert to fraction form
    297,140.40/445,711.56 = 75,524.40/x
  3. Step 3: Cross multiply
    297,140.40x = 445,711.56 × 75,524.40
  4. Step 4: Simplify right side
    297,140.40x = 33,662,098,142.06
  5. Step 5: Solve for x
    x = 33,662,098,142.06/297,140.40
  6. Step 6: Final answer
    x = 113,286.84

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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.