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Finding the Fourth Proportional to 419,991.88, 579,576.16 and 229,009

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Solution

The fourth proportional to 419,991.88, 579,576.16 and 229,009 is: 316,025.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,991.88 : 579,576.16 = 229,009 : x
  2. Step 2: Convert to fraction form
    419,991.88/579,576.16 = 229,009/x
  3. Step 3: Cross multiply
    419,991.88x = 579,576.16 × 229,009
  4. Step 4: Simplify right side
    419,991.88x = 132,728,156,825.44
  5. Step 5: Solve for x
    x = 132,728,156,825.44/419,991.88
  6. Step 6: Final answer
    x = 316,025.53

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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.