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Finding the Fourth Proportional to 418,468, 627,978.48 and 196,869.28

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Solution

The fourth proportional to 418,468, 627,978.48 and 196,869.28 is: 295,433.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,468 : 627,978.48 = 196,869.28 : x
  2. Step 2: Convert to fraction form
    418,468/627,978.48 = 196,869.28/x
  3. Step 3: Cross multiply
    418,468x = 627,978.48 × 196,869.28
  4. Step 4: Simplify right side
    418,468x = 123,629,671,213.09
  5. Step 5: Solve for x
    x = 123,629,671,213.09/418,468
  6. Step 6: Final answer
    x = 295,433.99

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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.