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Finding the Fourth Proportional to 418,408, 627,888.48 and 196,809.28

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Solution

The fourth proportional to 418,408, 627,888.48 and 196,809.28 is: 295,343.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,408 : 627,888.48 = 196,809.28 : x
  2. Step 2: Convert to fraction form
    418,408/627,888.48 = 196,809.28/x
  3. Step 3: Cross multiply
    418,408x = 627,888.48 × 196,809.28
  4. Step 4: Simplify right side
    418,408x = 123,574,279,669.09
  5. Step 5: Solve for x
    x = 123,574,279,669.09/418,408
  6. Step 6: Final answer
    x = 295,343.97

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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.