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Finding the Fourth Proportional to 274,282.87, 411,112 and 171,748.12

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Solution

The fourth proportional to 274,282.87, 411,112 and 171,748.12 is: 257,426.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,282.87 : 411,112 = 171,748.12 : x
  2. Step 2: Convert to fraction form
    274,282.87/411,112 = 171,748.12/x
  3. Step 3: Cross multiply
    274,282.87x = 411,112 × 171,748.12
  4. Step 4: Simplify right side
    274,282.87x = 70,607,713,109.44
  5. Step 5: Solve for x
    x = 70,607,713,109.44/274,282.87
  6. Step 6: Final answer
    x = 257,426.62

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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.