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Finding the Fourth Proportional to 719,328, 1,079,043.84 and 276,096

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Solution

The fourth proportional to 719,328, 1,079,043.84 and 276,096 is: 414,163.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,328 : 1,079,043.84 = 276,096 : x
  2. Step 2: Convert to fraction form
    719,328/1,079,043.84 = 276,096/x
  3. Step 3: Cross multiply
    719,328x = 1,079,043.84 × 276,096
  4. Step 4: Simplify right side
    719,328x = 297,919,688,048.64
  5. Step 5: Solve for x
    x = 297,919,688,048.64/719,328
  6. Step 6: Final answer
    x = 414,163.90

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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.