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Finding the Fourth Proportional to 428,978.75, 591,998.49 and 235,396.44

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Solution

The fourth proportional to 428,978.75, 591,998.49 and 235,396.44 is: 324,851.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,978.75 : 591,998.49 = 235,396.44 : x
  2. Step 2: Convert to fraction form
    428,978.75/591,998.49 = 235,396.44/x
  3. Step 3: Cross multiply
    428,978.75x = 591,998.49 × 235,396.44
  4. Step 4: Simplify right side
    428,978.75x = 139,354,337,031.38
  5. Step 5: Solve for x
    x = 139,354,337,031.38/428,978.75
  6. Step 6: Final answer
    x = 324,851.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.