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Finding the Fourth Proportional to 274,618, 411,914.64 and 74,937.70

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Solution

The fourth proportional to 274,618, 411,914.64 and 74,937.70 is: 112,403.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,618 : 411,914.64 = 74,937.70 : x
  2. Step 2: Convert to fraction form
    274,618/411,914.64 = 74,937.70/x
  3. Step 3: Cross multiply
    274,618x = 411,914.64 × 74,937.70
  4. Step 4: Simplify right side
    274,618x = 30,867,935,717.93
  5. Step 5: Solve for x
    x = 30,867,935,717.93/274,618
  6. Step 6: Final answer
    x = 112,403.18

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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.