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Finding the Fourth Proportional to 351,882.31, 527,816.08 and 85,644.31

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Solution

The fourth proportional to 351,882.31, 527,816.08 and 85,644.31 is: 128,464.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,882.31 : 527,816.08 = 85,644.31 : x
  2. Step 2: Convert to fraction form
    351,882.31/527,816.08 = 85,644.31/x
  3. Step 3: Cross multiply
    351,882.31x = 527,816.08 × 85,644.31
  4. Step 4: Simplify right side
    351,882.31x = 45,204,440,911.20
  5. Step 5: Solve for x
    x = 45,204,440,911.20/351,882.31
  6. Step 6: Final answer
    x = 128,464.66

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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.