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Finding the Fourth Proportional to 274,788.10, 411,573.12 and 211,139.71

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Solution

The fourth proportional to 274,788.10, 411,573.12 and 211,139.71 is: 316,241.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,788.10 : 411,573.12 = 211,139.71 : x
  2. Step 2: Convert to fraction form
    274,788.10/411,573.12 = 211,139.71/x
  3. Step 3: Cross multiply
    274,788.10x = 411,573.12 × 211,139.71
  4. Step 4: Simplify right side
    274,788.10x = 86,899,431,476.48
  5. Step 5: Solve for x
    x = 86,899,431,476.48/274,788.10
  6. Step 6: Final answer
    x = 316,241.62

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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.