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Finding the Fourth Proportional to 418,704.12, 627,961.85 and 119,178.07

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Solution

The fourth proportional to 418,704.12, 627,961.85 and 119,178.07 is: 178,740.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,704.12 : 627,961.85 = 119,178.07 : x
  2. Step 2: Convert to fraction form
    418,704.12/627,961.85 = 119,178.07/x
  3. Step 3: Cross multiply
    418,704.12x = 627,961.85 × 119,178.07
  4. Step 4: Simplify right side
    418,704.12x = 74,839,279,597.75
  5. Step 5: Solve for x
    x = 74,839,279,597.75/418,704.12
  6. Step 6: Final answer
    x = 178,740.25

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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.