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Finding the Fourth Proportional to 276,049.53, 380,911.29 and 155,166.75

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Solution

The fourth proportional to 276,049.53, 380,911.29 and 155,166.75 is: 214,109.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,049.53 : 380,911.29 = 155,166.75 : x
  2. Step 2: Convert to fraction form
    276,049.53/380,911.29 = 155,166.75/x
  3. Step 3: Cross multiply
    276,049.53x = 380,911.29 × 155,166.75
  4. Step 4: Simplify right side
    276,049.53x = 59,104,766,907.61
  5. Step 5: Solve for x
    x = 59,104,766,907.61/276,049.53
  6. Step 6: Final answer
    x = 214,109.28

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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.