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Finding the Fourth Proportional to 276,136.20, 413,941.80 and 176,015.40

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Solution

The fourth proportional to 276,136.20, 413,941.80 and 176,015.40 is: 263,855.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,136.20 : 413,941.80 = 176,015.40 : x
  2. Step 2: Convert to fraction form
    276,136.20/413,941.80 = 176,015.40/x
  3. Step 3: Cross multiply
    276,136.20x = 413,941.80 × 176,015.40
  4. Step 4: Simplify right side
    276,136.20x = 72,860,131,503.72
  5. Step 5: Solve for x
    x = 72,860,131,503.72/276,136.20
  6. Step 6: Final answer
    x = 263,855.78

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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.