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Finding the Fourth Proportional to 524,311.31, 784,775.25 and 271,243.42

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Solution

The fourth proportional to 524,311.31, 784,775.25 and 271,243.42 is: 405,989.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,311.31 : 784,775.25 = 271,243.42 : x
  2. Step 2: Convert to fraction form
    524,311.31/784,775.25 = 271,243.42/x
  3. Step 3: Cross multiply
    524,311.31x = 784,775.25 × 271,243.42
  4. Step 4: Simplify right side
    524,311.31x = 212,865,120,779.42
  5. Step 5: Solve for x
    x = 212,865,120,779.42/524,311.31
  6. Step 6: Final answer
    x = 405,989.94

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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.