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Finding the Fourth Proportional to 360,676,408.76, 497,691,453.39 and 201,915,225.25

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Solution

The fourth proportional to 360,676,408.76, 497,691,453.39 and 201,915,225.25 is: 278,619,503.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,676,408.76 : 497,691,453.39 = 201,915,225.25 : x
  2. Step 2: Convert to fraction form
    360,676,408.76/497,691,453.39 = 201,915,225.25/x
  3. Step 3: Cross multiply
    360,676,408.76x = 497,691,453.39 × 201,915,225.25
  4. Step 4: Simplify right side
    360,676,408.76x = 100,491,481,916,241,728
  5. Step 5: Solve for x
    x = 100,491,481,916,241,728/360,676,408.76
  6. Step 6: Final answer
    x = 278,619,503.45

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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.