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Finding the Fourth Proportional to 418,158, 627,314.76 and 196,542

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Solution

The fourth proportional to 418,158, 627,314.76 and 196,542 is: 294,849.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,158 : 627,314.76 = 196,542 : x
  2. Step 2: Convert to fraction form
    418,158/627,314.76 = 196,542/x
  3. Step 3: Cross multiply
    418,158x = 627,314.76 × 196,542
  4. Step 4: Simplify right side
    418,158x = 123,293,697,559.92
  5. Step 5: Solve for x
    x = 123,293,697,559.92/418,158
  6. Step 6: Final answer
    x = 294,849.55

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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.