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Finding the Fourth Proportional to 311,395.68, 467,076.24 and 276,732

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Solution

The fourth proportional to 311,395.68, 467,076.24 and 276,732 is: 415,082.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,395.68 : 467,076.24 = 276,732 : x
  2. Step 2: Convert to fraction form
    311,395.68/467,076.24 = 276,732/x
  3. Step 3: Cross multiply
    311,395.68x = 467,076.24 × 276,732
  4. Step 4: Simplify right side
    311,395.68x = 129,254,942,047.68
  5. Step 5: Solve for x
    x = 129,254,942,047.68/311,395.68
  6. Step 6: Final answer
    x = 415,082.64

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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.