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Finding the Fourth Proportional to 418,477, 627,991.98 and 196,878.28

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Solution

The fourth proportional to 418,477, 627,991.98 and 196,878.28 is: 295,447.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,477 : 627,991.98 = 196,878.28 : x
  2. Step 2: Convert to fraction form
    418,477/627,991.98 = 196,878.28/x
  3. Step 3: Cross multiply
    418,477x = 627,991.98 × 196,878.28
  4. Step 4: Simplify right side
    418,477x = 123,637,980,876.19
  5. Step 5: Solve for x
    x = 123,637,980,876.19/418,477
  6. Step 6: Final answer
    x = 295,447.49

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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.