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Finding the Fourth Proportional to 274,794.72, 379,271.97 and 187,812.06

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Solution

The fourth proportional to 274,794.72, 379,271.97 and 187,812.06 is: 259,218.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,794.72 : 379,271.97 = 187,812.06 : x
  2. Step 2: Convert to fraction form
    274,794.72/379,271.97 = 187,812.06/x
  3. Step 3: Cross multiply
    274,794.72x = 379,271.97 × 187,812.06
  4. Step 4: Simplify right side
    274,794.72x = 71,231,849,985.96
  5. Step 5: Solve for x
    x = 71,231,849,985.96/274,794.72
  6. Step 6: Final answer
    x = 259,218.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.